0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d THM
0.12/0.34	% Computer : n001.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Wed Jul 30 06:02:04 EDT 2025
0.12/0.34	% CPUTime    : 
0.20/0.36	This is a TFF_ problem
0.20/0.36	Running first-order theorem proving
0.20/0.36	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.20/0.42	% (29013)Running in auto input_syntax mode. Trying TPTP
0.20/0.42	% (29019)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/15Mi)
0.20/0.42	% (29013)Running in auto input_syntax mode. Trying TPTP
0.20/0.42	% (29018)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi)
0.20/0.42	% (29013)Running in auto input_syntax mode. Trying TPTP
0.20/0.42	% (29016)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/8Mi)
0.20/0.43	% (29016)Instruction limit reached!
0.20/0.43	% (29016)------------------------------
0.20/0.43	% (29016)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.20/0.43	% (29016)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.20/0.43	% (29016)Termination reason: Time limit
0.20/0.43	% (29016)Termination phase: Saturation
0.20/0.43	
0.20/0.43	% (29016)Memory used [KB]: 878
0.20/0.43	% (29016)Time elapsed: 0.008 s
0.20/0.43	% (29016)Instructions burned: 9 (million)
0.20/0.43	% (29019)Instruction limit reached!
0.20/0.43	% (29019)------------------------------
0.20/0.43	% (29019)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.20/0.43	% (29019)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.20/0.43	% (29019)Termination reason: Time limit
0.20/0.43	% (29019)Termination phase: Saturation
0.20/0.43	
0.20/0.43	% (29019)Memory used [KB]: 909
0.20/0.43	% (29019)Time elapsed: 0.012 s
0.20/0.43	% (29019)Instructions burned: 16 (million)
0.21/0.44	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (29017)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi)
0.21/0.44	% (29017)Instruction limit reached!
0.21/0.44	% (29017)------------------------------
0.21/0.44	% (29017)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.44	% (29017)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.44	% (29017)Termination reason: Time limit
0.21/0.44	% (29017)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (29017)Memory used [KB]: 749
0.21/0.44	% (29017)Time elapsed: 0.003 s
0.21/0.44	% (29017)Instructions burned: 2 (million)
0.21/0.44	% (29018)Instruction limit reached!
0.21/0.44	% (29018)------------------------------
0.21/0.44	% (29018)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.44	% (29018)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.44	% (29018)Termination reason: Time limit
0.21/0.44	% (29018)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (29018)Memory used [KB]: 1152
0.21/0.44	% (29018)Time elapsed: 0.022 s
0.21/0.44	% (29018)Instructions burned: 37 (million)
0.21/0.45	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (29020)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/32Mi)
0.21/0.45	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (29015)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/34Mi)
0.21/0.47	% (29020)Instruction limit reached!
0.21/0.47	% (29020)------------------------------
0.21/0.47	% (29020)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.47	% (29020)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.47	% (29020)Termination reason: Time limit
0.21/0.47	% (29020)Termination phase: Saturation
0.21/0.47	
0.21/0.47	% (29020)Memory used [KB]: 1028
0.21/0.47	% (29020)Time elapsed: 0.020 s
0.21/0.47	% (29020)Instructions burned: 33 (million)
0.21/0.47	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.47	% (29014)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/59848Mi)
0.21/0.47	% (29015)Instruction limit reached!
0.21/0.47	% (29015)------------------------------
0.21/0.47	% (29015)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.47	% (29015)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.47	% (29015)Termination reason: Time limit
0.21/0.47	% (29015)Termination phase: Saturation
0.21/0.47	
0.21/0.47	% (29015)Memory used [KB]: 957
0.21/0.47	% (29015)Time elapsed: 0.054 s
0.21/0.47	% (29015)Instructions burned: 36 (million)
0.21/0.48	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.48	% (29022)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/26Mi)
0.21/0.48	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.48	% (29021)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/36Mi)
0.21/0.49	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.49	% (29024)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/35Mi)
0.21/0.50	% (29022)Refutation not found, non-redundant clauses discarded% (29022)------------------------------
0.21/0.50	% (29022)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.50	% (29022)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.50	% (29022)Termination reason: Refutation not found, non-redundant clauses discarded
0.21/0.50	
0.21/0.50	% (29022)Memory used [KB]: 1005
0.21/0.50	% (29022)Time elapsed: 0.017 s
0.21/0.50	% (29022)Instructions burned: 27 (million)
0.21/0.50	% (29022)------------------------------
0.21/0.50	% (29022)------------------------------
0.21/0.50	% (29021)Instruction limit reached!
0.21/0.50	% (29021)------------------------------
0.21/0.50	% (29021)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.50	% (29021)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.50	% (29021)Termination reason: Time limit
0.21/0.50	% (29021)Termination phase: Saturation
0.21/0.50	
0.21/0.50	% (29021)Memory used [KB]: 1092
0.21/0.50	% (29021)Time elapsed: 0.020 s
0.21/0.50	% (29021)Instructions burned: 36 (million)
0.21/0.50	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.50	% (29025)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/4Mi)
0.21/0.51	% (29025)Instruction limit reached!
0.21/0.51	% (29025)------------------------------
0.21/0.51	% (29025)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.51	% (29025)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.51	% (29025)Termination reason: Time limit
0.21/0.51	% (29025)Termination phase: Saturation
0.21/0.51	
0.21/0.51	% (29025)Memory used [KB]: 866
0.21/0.51	% (29025)Time elapsed: 0.004 s
0.21/0.51	% (29025)Instructions burned: 5 (million)
0.21/0.51	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.51	% (29023)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi)
0.21/0.51	% (29023)Instruction limit reached!
0.21/0.51	% (29023)------------------------------
0.21/0.51	% (29023)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.51	% (29023)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.51	% (29023)Termination reason: Time limit
0.21/0.51	% (29023)Termination phase: Saturation
0.21/0.51	
0.21/0.51	% (29023)Memory used [KB]: 755
0.21/0.51	% (29023)Time elapsed: 0.002 s
0.21/0.51	% (29023)Instructions burned: 2 (million)
0.21/0.51	% (29024)Instruction limit reached!
0.21/0.51	% (29024)------------------------------
0.21/0.51	% (29024)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.51	% (29024)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.51	% (29024)Termination reason: Time limit
0.21/0.51	% (29024)Termination phase: Saturation
0.21/0.51	
0.21/0.51	% (29024)Memory used [KB]: 969
0.21/0.51	% (29024)Time elapsed: 0.019 s
0.21/0.51	% (29024)Instructions burned: 38 (million)
0.21/0.52	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.52	% (29026)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/2Mi)
0.21/0.52	% (29026)Instruction limit reached!
0.21/0.52	% (29026)------------------------------
0.21/0.52	% (29026)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.52	% (29026)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.52	% (29026)Termination reason: Time limit
0.21/0.52	% (29026)Termination phase: Saturation
0.21/0.52	
0.21/0.52	% (29026)Memory used [KB]: 746
0.21/0.52	% (29026)Time elapsed: 0.003 s
0.21/0.52	% (29026)Instructions burned: 2 (million)
0.21/0.53	% (29014)First to succeed.
0.21/0.54	% (29014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29013"
0.21/0.54	% (29013)Running in auto input_syntax mode. Trying TPTP
0.21/0.54	% (29014)Refutation found. Thanks to Tanya!
0.21/0.54	% SZS status Theorem for theBenchmark
0.21/0.54	% SZS output start Proof for theBenchmark
0.21/0.54	tff(func_def_0, type, y: $real).
0.21/0.54	tff(func_def_1, type, x: $real).
0.21/0.54	tff(func_def_2, type, v: $real).
0.21/0.54	tff(func_def_3, type, u: $real).
0.21/0.54	tff(func_def_10, type, sF0: $real).
0.21/0.54	tff(func_def_11, type, sF1: $real).
0.21/0.54	tff(func_def_12, type, sF2: $real).
0.21/0.54	tff(func_def_13, type, sF3: $real).
0.21/0.54	tff(func_def_14, type, sF4: $real).
0.21/0.54	tff(f708,plain,(
0.21/0.54	  $false),
0.21/0.54	  inference(avatar_smt_refutation,[],[f44,f48,f52,f56,f60,f64,f68,f72,f76,f80,f84,f129,f133,f146,f184,f192,f404,f405,f409,f413,f417,f443,f447,f451,f455,f482,f559,f588,f674,f702,f704])).
0.21/0.54	tff(f704,plain,(
0.21/0.54	  spl5_6 | ~spl5_30),
0.21/0.54	  inference(avatar_contradiction_clause,[],[f703])).
0.21/0.54	tff(f703,plain,(
0.21/0.54	  $false | (spl5_6 | ~spl5_30)),
0.21/0.54	  inference(evaluation,[],[f689])).
0.21/0.54	tff(f689,plain,(
0.21/0.54	  ~$less(0.0,2.0) | (spl5_6 | ~spl5_30)),
0.21/0.54	  inference(backward_demodulation,[],[f63,f687])).
0.21/0.54	tff(f687,plain,(
0.21/0.54	  x = 0.0 | ~spl5_30),
0.21/0.54	  inference(trivial_inequality_removal,[],[f681])).
0.21/0.54	tff(f681,plain,(
0.21/0.54	  0.0 != 0.0 | x = 0.0 | ~spl5_30),
0.21/0.54	  inference(superposition,[],[f670,f25])).
0.21/0.54	tff(f25,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 = $product(X0,0.0)) )),
0.21/0.54	  introduced(theory_axiom_157,[])).
0.21/0.54	tff(f670,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 != $product(sF1,X0) | x = X0) ) | ~spl5_30),
0.21/0.54	  inference(avatar_component_clause,[],[f669])).
0.21/0.54	tff(f669,plain,(
0.21/0.54	  spl5_30 <=> ! [X0 : $real] : (0.0 != $product(sF1,X0) | x = X0)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_30])])).
0.21/0.54	tff(f63,plain,(
0.21/0.54	  ~$less(x,2.0) | spl5_6),
0.21/0.54	  inference(avatar_component_clause,[],[f62])).
0.21/0.54	tff(f62,plain,(
0.21/0.54	  spl5_6 <=> $less(x,2.0)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_6])])).
0.21/0.54	tff(f702,plain,(
0.21/0.54	  spl5_32 | ~spl5_30),
0.21/0.54	  inference(avatar_split_clause,[],[f687,f669,f700])).
0.21/0.54	tff(f700,plain,(
0.21/0.54	  spl5_32 <=> x = 0.0),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_32])])).
0.21/0.54	tff(f674,plain,(
0.21/0.54	  spl5_30 | spl5_31 | ~spl5_24),
0.21/0.54	  inference(avatar_split_clause,[],[f464,f445,f672,f669])).
0.21/0.54	tff(f672,plain,(
0.21/0.54	  spl5_31 <=> 0.0 = sF1),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_31])])).
0.21/0.54	tff(f445,plain,(
0.21/0.54	  spl5_24 <=> 0.0 = $product(sF1,x)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_24])])).
0.21/0.54	tff(f464,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 != $product(sF1,X0) | 0.0 = sF1 | x = X0) ) | ~spl5_24),
0.21/0.54	  inference(superposition,[],[f277,f446])).
0.21/0.54	tff(f446,plain,(
0.21/0.54	  0.0 = $product(sF1,x) | ~spl5_24),
0.21/0.54	  inference(avatar_component_clause,[],[f445])).
0.21/0.54	tff(f277,plain,(
0.21/0.54	  ( ! [X2 : $real,X3 : $real,X0 : $real] : ($product(X0,X2) != $product(X0,X3) | 0.0 = X0 | X2 = X3) )),
0.21/0.54	  inference(gaussian_variable_elimination,[],[f27])).
0.21/0.54	tff(f27,plain,(
0.21/0.54	  ( ! [X2 : $real,X3 : $real,X0 : $real,X1 : $real] : ($product(X0,X3) != X1 | X2 = X3 | $product(X0,X2) != X1 | 0.0 = X0) )),
0.21/0.54	  introduced(theory_axiom_159,[])).
0.21/0.54	tff(f588,plain,(
0.21/0.54	  spl5_29 | ~spl5_26),
0.21/0.54	  inference(avatar_split_clause,[],[f584,f453,f586])).
0.21/0.54	tff(f586,plain,(
0.21/0.54	  spl5_29 <=> 0.0 = $product(y,$uminus(y))),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_29])])).
0.21/0.54	tff(f453,plain,(
0.21/0.54	  spl5_26 <=> 0.0 = $product(y,y)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_26])])).
0.21/0.54	tff(f584,plain,(
0.21/0.54	  0.0 = $product(y,$uminus(y)) | ~spl5_26),
0.21/0.54	  inference(forward_demodulation,[],[f572,f25])).
0.21/0.54	tff(f572,plain,(
0.21/0.54	  $product(y,0.0) = $product(y,$uminus(y)) | ~spl5_26),
0.21/0.54	  inference(superposition,[],[f475,f85])).
0.21/0.54	tff(f85,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 = $sum($uminus(X0),X0)) )),
0.21/0.54	  inference(superposition,[],[f15,f21])).
0.21/0.54	tff(f21,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($uminus($uminus(X0)) = X0) )),
0.21/0.54	  introduced(theory_axiom_156,[])).
0.21/0.54	tff(f15,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 = $sum(X0,$uminus(X0))) )),
0.21/0.54	  introduced(theory_axiom_148,[])).
0.21/0.54	tff(f475,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($product(y,X0) = $product(y,$sum(X0,y))) ) | ~spl5_26),
0.21/0.54	  inference(evaluation,[],[f471])).
0.21/0.54	tff(f471,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($product(y,$sum(X0,y)) = $sum($product(y,X0),0.0)) ) | ~spl5_26),
0.21/0.54	  inference(superposition,[],[f26,f454])).
0.21/0.54	tff(f454,plain,(
0.21/0.54	  0.0 = $product(y,y) | ~spl5_26),
0.21/0.54	  inference(avatar_component_clause,[],[f453])).
0.21/0.54	tff(f26,plain,(
0.21/0.54	  ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
0.21/0.54	  introduced(theory_axiom_158,[])).
0.21/0.54	tff(f559,plain,(
0.21/0.54	  spl5_28 | ~spl5_24),
0.21/0.54	  inference(avatar_split_clause,[],[f539,f445,f557])).
0.21/0.54	tff(f557,plain,(
0.21/0.54	  spl5_28 <=> 0.0 = $product(sF1,$uminus(x))),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_28])])).
0.21/0.54	tff(f539,plain,(
0.21/0.54	  0.0 = $product(sF1,$uminus(x)) | ~spl5_24),
0.21/0.54	  inference(forward_demodulation,[],[f526,f25])).
0.21/0.54	tff(f526,plain,(
0.21/0.54	  $product(sF1,0.0) = $product(sF1,$uminus(x)) | ~spl5_24),
0.21/0.54	  inference(superposition,[],[f466,f15])).
0.21/0.54	tff(f466,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($product(sF1,X0) = $product(sF1,$sum(x,X0))) ) | ~spl5_24),
0.21/0.54	  inference(evaluation,[],[f461])).
0.21/0.54	tff(f461,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($product(sF1,$sum(x,X0)) = $sum(0.0,$product(sF1,X0))) ) | ~spl5_24),
0.21/0.54	  inference(superposition,[],[f26,f446])).
0.21/0.54	tff(f482,plain,(
0.21/0.54	  spl5_27 | ~spl5_24),
0.21/0.54	  inference(avatar_split_clause,[],[f456,f445,f480])).
0.21/0.54	tff(f480,plain,(
0.21/0.54	  spl5_27 <=> 0.0 = $product(x,sF1)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_27])])).
0.21/0.54	tff(f456,plain,(
0.21/0.54	  0.0 = $product(x,sF1) | ~spl5_24),
0.21/0.54	  inference(superposition,[],[f446,f22])).
0.21/0.54	tff(f22,plain,(
0.21/0.54	  ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
0.21/0.54	  introduced(theory_axiom_143,[])).
0.21/0.54	tff(f455,plain,(
0.21/0.54	  spl5_26 | ~spl5_10 | ~spl5_18),
0.21/0.54	  inference(avatar_split_clause,[],[f418,f399,f78,f453])).
0.21/0.54	tff(f78,plain,(
0.21/0.54	  spl5_10 <=> $product(y,y) = sF3),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_10])])).
0.21/0.54	tff(f399,plain,(
0.21/0.54	  spl5_18 <=> 0.0 = sF3),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_18])])).
0.21/0.54	tff(f418,plain,(
0.21/0.54	  0.0 = $product(y,y) | (~spl5_10 | ~spl5_18)),
0.21/0.54	  inference(backward_demodulation,[],[f79,f400])).
0.21/0.54	tff(f400,plain,(
0.21/0.54	  0.0 = sF3 | ~spl5_18),
0.21/0.54	  inference(avatar_component_clause,[],[f399])).
0.21/0.54	tff(f79,plain,(
0.21/0.54	  $product(y,y) = sF3 | ~spl5_10),
0.21/0.54	  inference(avatar_component_clause,[],[f78])).
0.21/0.54	tff(f451,plain,(
0.21/0.54	  spl5_25 | ~spl5_14 | ~spl5_16 | ~spl5_18),
0.21/0.54	  inference(avatar_split_clause,[],[f439,f399,f182,f141,f449])).
0.21/0.54	tff(f449,plain,(
0.21/0.54	  spl5_25 <=> 0.0 = sF4),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_25])])).
0.21/0.54	tff(f141,plain,(
0.21/0.54	  spl5_14 <=> sF2 = sF4),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_14])])).
0.21/0.54	tff(f182,plain,(
0.21/0.54	  spl5_16 <=> sF2 = $product(sF3,v)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_16])])).
0.21/0.54	tff(f439,plain,(
0.21/0.54	  0.0 = sF4 | (~spl5_14 | ~spl5_16 | ~spl5_18)),
0.21/0.54	  inference(backward_demodulation,[],[f142,f429])).
0.21/0.54	tff(f429,plain,(
0.21/0.54	  0.0 = sF2 | (~spl5_16 | ~spl5_18)),
0.21/0.54	  inference(forward_demodulation,[],[f419,f98])).
0.21/0.54	tff(f98,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 = $product(0.0,X0)) )),
0.21/0.54	  inference(superposition,[],[f22,f25])).
0.21/0.54	tff(f419,plain,(
0.21/0.54	  sF2 = $product(0.0,v) | (~spl5_16 | ~spl5_18)),
0.21/0.54	  inference(backward_demodulation,[],[f183,f400])).
0.21/0.54	tff(f183,plain,(
0.21/0.54	  sF2 = $product(sF3,v) | ~spl5_16),
0.21/0.54	  inference(avatar_component_clause,[],[f182])).
0.21/0.54	tff(f142,plain,(
0.21/0.54	  sF2 = sF4 | ~spl5_14),
0.21/0.54	  inference(avatar_component_clause,[],[f141])).
0.21/0.54	tff(f447,plain,(
0.21/0.54	  spl5_24 | ~spl5_9 | ~spl5_16 | ~spl5_18),
0.21/0.54	  inference(avatar_split_clause,[],[f438,f399,f182,f74,f445])).
0.21/0.54	tff(f74,plain,(
0.21/0.54	  spl5_9 <=> $product(sF1,x) = sF2),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_9])])).
0.21/0.54	tff(f438,plain,(
0.21/0.54	  0.0 = $product(sF1,x) | (~spl5_9 | ~spl5_16 | ~spl5_18)),
0.21/0.54	  inference(backward_demodulation,[],[f75,f429])).
0.21/0.54	tff(f75,plain,(
0.21/0.54	  $product(sF1,x) = sF2 | ~spl5_9),
0.21/0.54	  inference(avatar_component_clause,[],[f74])).
0.21/0.54	tff(f443,plain,(
0.21/0.54	  spl5_23 | ~spl5_16 | ~spl5_18),
0.21/0.54	  inference(avatar_split_clause,[],[f429,f399,f182,f441])).
0.21/0.54	tff(f441,plain,(
0.21/0.54	  spl5_23 <=> 0.0 = sF2),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_23])])).
0.21/0.54	tff(f417,plain,(
0.21/0.54	  spl5_22 | ~spl5_16),
0.21/0.54	  inference(avatar_split_clause,[],[f377,f182,f415])).
0.21/0.54	tff(f415,plain,(
0.21/0.54	  spl5_22 <=> $sum(sF2,sF3) = $product(sF3,$sum(1.0,v))),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_22])])).
0.21/0.54	tff(f377,plain,(
0.21/0.54	  $sum(sF2,sF3) = $product(sF3,$sum(1.0,v)) | ~spl5_16),
0.21/0.54	  inference(forward_demodulation,[],[f369,f11])).
0.21/0.54	tff(f11,plain,(
0.21/0.54	  ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.21/0.54	  introduced(theory_axiom_143,[])).
0.21/0.54	tff(f369,plain,(
0.21/0.54	  $product(sF3,$sum(v,1.0)) = $sum(sF2,sF3) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f250,f24])).
0.21/0.54	tff(f24,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($product(X0,1.0) = X0) )),
0.21/0.54	  introduced(theory_axiom_145,[])).
0.21/0.54	tff(f250,plain,(
0.21/0.54	  ( ! [X0 : $real] : ($product(sF3,$sum(v,X0)) = $sum(sF2,$product(sF3,X0))) ) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f26,f183])).
0.21/0.54	tff(f413,plain,(
0.21/0.54	  spl5_21 | spl5_18 | ~spl5_16),
0.21/0.54	  inference(avatar_split_clause,[],[f287,f182,f399,f411])).
0.21/0.54	tff(f411,plain,(
0.21/0.54	  spl5_21 <=> ! [X0 : $real,X1 : $real] : (v = X1 | $product(sF3,X1) != X0 | sF2 != X0)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_21])])).
0.21/0.54	tff(f287,plain,(
0.21/0.54	  ( ! [X0 : $real,X1 : $real] : (v = X1 | sF2 != X0 | $product(sF3,X1) != X0 | 0.0 = sF3) ) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f27,f183])).
0.21/0.54	tff(f409,plain,(
0.21/0.54	  spl5_20 | ~spl5_16),
0.21/0.54	  inference(avatar_split_clause,[],[f366,f182,f407])).
0.21/0.54	tff(f407,plain,(
0.21/0.54	  spl5_20 <=> $product(sF3,$sum(v,v)) = $sum(sF2,sF2)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_20])])).
0.21/0.54	tff(f366,plain,(
0.21/0.54	  $product(sF3,$sum(v,v)) = $sum(sF2,sF2) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f250,f183])).
0.21/0.54	tff(f405,plain,(
0.21/0.54	  spl5_18 | spl5_19 | ~spl5_16),
0.21/0.54	  inference(avatar_split_clause,[],[f309,f182,f402,f399])).
0.21/0.54	tff(f402,plain,(
0.21/0.54	  spl5_19 <=> ! [X0 : $real] : (v = X0 | sF2 != $product(sF3,X0))),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_19])])).
0.21/0.54	tff(f309,plain,(
0.21/0.54	  ( ! [X0 : $real] : (0.0 = sF3 | v = X0 | sF2 != $product(sF3,X0)) ) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f277,f183])).
0.21/0.54	tff(f404,plain,(
0.21/0.54	  spl5_18 | spl5_19 | ~spl5_16),
0.21/0.54	  inference(avatar_split_clause,[],[f299,f182,f402,f399])).
0.21/0.54	tff(f299,plain,(
0.21/0.54	  ( ! [X0 : $real] : (v = X0 | 0.0 = sF3 | sF2 != $product(sF3,X0)) ) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f277,f183])).
0.21/0.54	tff(f192,plain,(
0.21/0.54	  spl5_17 | ~spl5_16),
0.21/0.54	  inference(avatar_split_clause,[],[f185,f182,f190])).
0.21/0.54	tff(f190,plain,(
0.21/0.54	  spl5_17 <=> sF2 = $product(v,sF3)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_17])])).
0.21/0.54	tff(f185,plain,(
0.21/0.54	  sF2 = $product(v,sF3) | ~spl5_16),
0.21/0.54	  inference(superposition,[],[f183,f22])).
0.21/0.54	tff(f184,plain,(
0.21/0.54	  spl5_16 | ~spl5_11 | ~spl5_14),
0.21/0.54	  inference(avatar_split_clause,[],[f179,f141,f82,f182])).
0.21/0.54	tff(f82,plain,(
0.21/0.54	  spl5_11 <=> $product(sF3,v) = sF4),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_11])])).
0.21/0.54	tff(f179,plain,(
0.21/0.54	  sF2 = $product(sF3,v) | (~spl5_11 | ~spl5_14)),
0.21/0.54	  inference(backward_demodulation,[],[f83,f142])).
0.21/0.54	tff(f83,plain,(
0.21/0.54	  $product(sF3,v) = sF4 | ~spl5_11),
0.21/0.54	  inference(avatar_component_clause,[],[f82])).
0.21/0.54	tff(f146,plain,(
0.21/0.54	  spl5_14 | spl5_15 | spl5_1),
0.21/0.54	  inference(avatar_split_clause,[],[f138,f42,f144,f141])).
0.21/0.54	tff(f144,plain,(
0.21/0.54	  spl5_15 <=> $less(sF4,sF2)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_15])])).
0.21/0.54	tff(f42,plain,(
0.21/0.54	  spl5_1 <=> $less(sF2,sF4)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_1])])).
0.21/0.54	tff(f138,plain,(
0.21/0.54	  sF2 = sF4 | $less(sF4,sF2) | spl5_1),
0.21/0.54	  inference(resolution,[],[f18,f43])).
0.21/0.54	tff(f43,plain,(
0.21/0.54	  ~$less(sF2,sF4) | spl5_1),
0.21/0.54	  inference(avatar_component_clause,[],[f42])).
0.21/0.54	tff(f18,plain,(
0.21/0.54	  ( ! [X0 : $real,X1 : $real] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )),
0.21/0.54	  introduced(theory_axiom_152,[])).
0.21/0.54	tff(f133,plain,(
0.21/0.54	  spl5_13 | ~spl5_11),
0.21/0.54	  inference(avatar_split_clause,[],[f100,f82,f131])).
0.21/0.54	tff(f131,plain,(
0.21/0.54	  spl5_13 <=> sF4 = $product(v,sF3)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_13])])).
0.21/0.54	tff(f100,plain,(
0.21/0.54	  sF4 = $product(v,sF3) | ~spl5_11),
0.21/0.54	  inference(superposition,[],[f22,f83])).
0.21/0.54	tff(f129,plain,(
0.21/0.54	  spl5_12 | ~spl5_9),
0.21/0.54	  inference(avatar_split_clause,[],[f99,f74,f127])).
0.21/0.54	tff(f127,plain,(
0.21/0.54	  spl5_12 <=> sF2 = $product(x,sF1)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_12])])).
0.21/0.54	tff(f99,plain,(
0.21/0.54	  sF2 = $product(x,sF1) | ~spl5_9),
0.21/0.54	  inference(superposition,[],[f22,f75])).
0.21/0.54	tff(f84,plain,(
0.21/0.54	  spl5_11),
0.21/0.54	  inference(avatar_split_clause,[],[f39,f82])).
0.21/0.54	tff(f39,plain,(
0.21/0.54	  $product(sF3,v) = sF4),
0.21/0.54	  introduced(function_definition,[new_symbols(definition,[sF4])])).
0.21/0.54	tff(f80,plain,(
0.21/0.54	  spl5_10),
0.21/0.54	  inference(avatar_split_clause,[],[f38,f78])).
0.21/0.54	tff(f38,plain,(
0.21/0.54	  $product(y,y) = sF3),
0.21/0.54	  introduced(function_definition,[new_symbols(definition,[sF3])])).
0.21/0.54	tff(f76,plain,(
0.21/0.54	  spl5_9),
0.21/0.54	  inference(avatar_split_clause,[],[f37,f74])).
0.21/0.54	tff(f37,plain,(
0.21/0.54	  $product(sF1,x) = sF2),
0.21/0.54	  introduced(function_definition,[new_symbols(definition,[sF2])])).
0.21/0.54	tff(f72,plain,(
0.21/0.54	  spl5_8),
0.21/0.54	  inference(avatar_split_clause,[],[f36,f70])).
0.21/0.54	tff(f70,plain,(
0.21/0.54	  spl5_8 <=> $product(2.0,sF0) = sF1),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_8])])).
0.21/0.54	tff(f36,plain,(
0.21/0.54	  $product(2.0,sF0) = sF1),
0.21/0.54	  introduced(function_definition,[new_symbols(definition,[sF1])])).
0.21/0.54	tff(f68,plain,(
0.21/0.54	  spl5_7),
0.21/0.54	  inference(avatar_split_clause,[],[f35,f66])).
0.21/0.54	tff(f66,plain,(
0.21/0.54	  spl5_7 <=> $product(u,u) = sF0),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_7])])).
0.21/0.54	tff(f35,plain,(
0.21/0.54	  $product(u,u) = sF0),
0.21/0.54	  introduced(function_definition,[new_symbols(definition,[sF0])])).
0.21/0.54	tff(f64,plain,(
0.21/0.54	  ~spl5_6),
0.21/0.54	  inference(avatar_split_clause,[],[f34,f62])).
0.21/0.54	tff(f34,plain,(
0.21/0.54	  ~$less(x,2.0)),
0.21/0.54	  inference(cnf_transformation,[],[f9])).
0.21/0.54	tff(f9,plain,(
0.21/0.54	  ~$less(x,2.0)),
0.21/0.54	  inference(theory_normalization,[],[f1])).
0.21/0.54	tff(f1,axiom,(
0.21/0.54	  $greatereq(x,2.0)),
0.21/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.54	tff(f60,plain,(
0.21/0.54	  spl5_5),
0.21/0.54	  inference(avatar_split_clause,[],[f33,f58])).
0.21/0.54	tff(f58,plain,(
0.21/0.54	  spl5_5 <=> $less(u,v)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_5])])).
0.21/0.54	tff(f33,plain,(
0.21/0.54	  $less(u,v)),
0.21/0.54	  inference(cnf_transformation,[],[f3])).
0.21/0.54	tff(f3,axiom,(
0.21/0.54	  $less(u,v)),
0.21/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.54	tff(f56,plain,(
0.21/0.54	  ~spl5_4),
0.21/0.54	  inference(avatar_split_clause,[],[f32,f54])).
0.21/0.54	tff(f54,plain,(
0.21/0.54	  spl5_4 <=> $less(y,x)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_4])])).
0.21/0.54	tff(f32,plain,(
0.21/0.54	  ~$less(y,x)),
0.21/0.54	  inference(cnf_transformation,[],[f10])).
0.21/0.54	tff(f10,plain,(
0.21/0.54	  ~$less(y,x)),
0.21/0.54	  inference(theory_normalization,[],[f5])).
0.21/0.54	tff(f5,axiom,(
0.21/0.54	  $lesseq(x,y)),
0.21/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.54	tff(f52,plain,(
0.21/0.54	  spl5_3),
0.21/0.54	  inference(avatar_split_clause,[],[f30,f50])).
0.21/0.54	tff(f50,plain,(
0.21/0.54	  spl5_3 <=> $less(0.0,u)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
0.21/0.54	tff(f30,plain,(
0.21/0.54	  $less(0.0,u)),
0.21/0.54	  inference(cnf_transformation,[],[f8])).
0.21/0.54	tff(f8,plain,(
0.21/0.54	  $less(0.0,u)),
0.21/0.54	  inference(theory_normalization,[],[f4])).
0.21/0.54	tff(f4,axiom,(
0.21/0.54	  $greater(u,0.0)),
0.21/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.54	tff(f48,plain,(
0.21/0.54	  spl5_2),
0.21/0.54	  inference(avatar_split_clause,[],[f29,f46])).
0.21/0.54	tff(f46,plain,(
0.21/0.54	  spl5_2 <=> $less(v,1.0)),
0.21/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
0.21/0.54	tff(f29,plain,(
0.21/0.54	  $less(v,1.0)),
0.21/0.54	  inference(cnf_transformation,[],[f2])).
0.21/0.54	tff(f2,axiom,(
0.21/0.54	  $less(v,1.0)),
0.21/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.54	tff(f44,plain,(
0.21/0.54	  ~spl5_1),
0.21/0.54	  inference(avatar_split_clause,[],[f40,f42])).
0.21/0.54	tff(f40,plain,(
0.21/0.54	  ~$less(sF2,sF4)),
0.21/0.54	  inference(definition_folding,[],[f31,f39,f38,f37,f36,f35])).
0.21/0.54	tff(f31,plain,(
0.21/0.54	  ~$less($product($product(2.0,$product(u,u)),x),$product($product(y,y),v))),
0.21/0.54	  inference(cnf_transformation,[],[f28])).
0.21/0.54	tff(f28,plain,(
0.21/0.54	  ~$less($product($product(2.0,$product(u,u)),x),$product($product(y,y),v))),
0.21/0.54	  inference(flattening,[],[f7])).
0.21/0.54	tff(f7,negated_conjecture,(
0.21/0.54	  ~$less($product($product(2.0,$product(u,u)),x),$product($product(y,y),v))),
0.21/0.54	  inference(negated_conjecture,[],[f6])).
0.21/0.54	tff(f6,conjecture,(
0.21/0.54	  $less($product($product(2.0,$product(u,u)),x),$product($product(y,y),v))),
0.21/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.54	% SZS output end Proof for theBenchmark
0.21/0.54	% (29014)------------------------------
0.21/0.54	% (29014)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.21/0.54	% (29014)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.21/0.54	% (29014)Termination reason: Refutation
0.21/0.54	
0.21/0.54	% (29014)Memory used [KB]: 1101
0.21/0.54	% (29014)Time elapsed: 0.099 s
0.21/0.54	% (29014)Instructions burned: 181 (million)
0.21/0.54	% (29014)------------------------------
0.21/0.54	% (29014)------------------------------
0.21/0.54	% (29013)Success in time 0.163 s
0.21/0.54	EOF