TSTP Solution File: LCL163-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:39:08 EDT 2022
% Result : Unsatisfiable 1.54s 0.60s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f859,plain,
$false,
inference(trivial_inequality_removal,[],[f858]) ).
fof(f858,plain,
xor(truth,and_star(xor(y,truth),xor(truth,and_star(x,xor(y,truth))))) != xor(truth,and_star(xor(y,truth),xor(truth,and_star(x,xor(y,truth))))),
inference(superposition,[],[f598,f9]) ).
fof(f9,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f598,plain,
xor(truth,and_star(xor(y,truth),xor(and_star(x,xor(y,truth)),truth))) != xor(truth,and_star(xor(y,truth),xor(truth,and_star(x,xor(y,truth))))),
inference(superposition,[],[f213,f9]) ).
fof(f213,plain,
xor(truth,and_star(xor(truth,y),xor(and_star(x,xor(truth,y)),truth))) != xor(truth,and_star(xor(y,truth),xor(truth,and_star(x,xor(y,truth))))),
inference(forward_demodulation,[],[f207,f61]) ).
fof(f61,plain,
! [X0] : xor(truth,xor(truth,X0)) = X0,
inference(forward_demodulation,[],[f46,f25]) ).
fof(f25,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(superposition,[],[f9,f2]) ).
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f46,plain,
! [X0] : xor(falsehood,X0) = xor(truth,xor(truth,X0)),
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : falsehood = xor(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f207,plain,
xor(truth,and_star(xor(y,truth),xor(truth,and_star(x,xor(y,truth))))) != xor(truth,and_star(xor(truth,y),xor(and_star(xor(truth,xor(truth,x)),xor(truth,y)),truth))),
inference(backward_demodulation,[],[f39,f200]) ).
fof(f200,plain,
! [X2,X1] : and_star(xor(truth,and_star(X1,X2)),X2) = and_star(xor(truth,X1),xor(and_star(xor(truth,X2),xor(truth,X1)),truth)),
inference(superposition,[],[f19,f61]) ).
fof(f19,plain,
! [X0,X1] : and_star(X1,xor(and_star(xor(truth,X0),X1),truth)) = and_star(xor(truth,and_star(xor(truth,X1),X0)),X0),
inference(backward_demodulation,[],[f17,f9]) ).
fof(f17,plain,
! [X0,X1] : and_star(xor(and_star(xor(truth,X1),X0),truth),X0) = and_star(X1,xor(and_star(xor(truth,X0),X1),truth)),
inference(backward_demodulation,[],[f8,f11]) ).
fof(f11,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity) ).
fof(f8,axiom,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f39,plain,
xor(truth,and_star(xor(truth,and_star(y,xor(truth,x))),xor(truth,x))) != xor(truth,and_star(xor(y,truth),xor(truth,and_star(x,xor(y,truth))))),
inference(superposition,[],[f18,f11]) ).
fof(f18,plain,
xor(truth,and_star(xor(truth,and_star(x,xor(y,truth))),xor(y,truth))) != xor(truth,and_star(xor(truth,and_star(y,xor(truth,x))),xor(truth,x))),
inference(backward_demodulation,[],[f16,f9]) ).
fof(f16,plain,
xor(truth,and_star(xor(truth,and_star(y,xor(truth,x))),xor(truth,x))) != xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),xor(truth,y))),
inference(definition_unfolding,[],[f14,f13,f13,f13,f13]) ).
fof(f13,axiom,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f14,axiom,
implies(implies(x,y),y) != implies(implies(y,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.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 : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 01:54:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (2448)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (2453)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (2473)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.19/0.50 % (2456)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (2458)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.19/0.51 % (2447)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.19/0.51 % (2446)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.52 % (2459)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.19/0.52 % (2449)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (2451)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52 % (2468)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.52 % (2450)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.36/0.52 % (2469)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 1.36/0.53 % (2460)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 1.36/0.53 % (2457)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.36/0.53 % (2465)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 1.36/0.53 % (2462)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.36/0.53 % (2452)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.53 % (2449)Instruction limit reached!
% 1.36/0.53 % (2449)------------------------------
% 1.36/0.53 % (2449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (2449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (2449)Termination reason: Unknown
% 1.36/0.53 % (2449)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (2449)Memory used [KB]: 5500
% 1.36/0.53 % (2449)Time elapsed: 0.139 s
% 1.36/0.53 % (2449)Instructions burned: 7 (million)
% 1.36/0.53 % (2449)------------------------------
% 1.36/0.53 % (2449)------------------------------
% 1.36/0.53 % (2463)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 1.36/0.54 % (2447)Instruction limit reached!
% 1.36/0.54 % (2447)------------------------------
% 1.36/0.54 % (2447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (2447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (2447)Termination reason: Unknown
% 1.36/0.54 % (2447)Termination phase: Saturation
% 1.36/0.54
% 1.36/0.54 % (2447)Memory used [KB]: 5628
% 1.36/0.54 % (2447)Time elapsed: 0.121 s
% 1.36/0.54 % (2447)Instructions burned: 12 (million)
% 1.36/0.54 % (2447)------------------------------
% 1.36/0.54 % (2447)------------------------------
% 1.36/0.54 % (2471)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.36/0.54 % (2467)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 1.36/0.54 % (2461)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 1.36/0.54 % (2472)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.36/0.54 % (2452)Instruction limit reached!
% 1.36/0.54 % (2452)------------------------------
% 1.36/0.54 % (2452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (2452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (2452)Termination reason: Unknown
% 1.36/0.54 % (2452)Termination phase: Saturation
% 1.36/0.54
% 1.36/0.54 % (2452)Memory used [KB]: 5628
% 1.36/0.54 % (2452)Time elapsed: 0.108 s
% 1.36/0.54 % (2452)Instructions burned: 8 (million)
% 1.36/0.54 % (2452)------------------------------
% 1.36/0.54 % (2452)------------------------------
% 1.36/0.54 % (2466)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.36/0.54 % (2455)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.36/0.54 % (2474)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.36/0.54 % (2475)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.54/0.54 % (2454)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.54/0.54 % (2470)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 1.54/0.55 % (2464)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.54/0.55 % (2451)Instruction limit reached!
% 1.54/0.55 % (2451)------------------------------
% 1.54/0.55 % (2451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (2451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (2451)Termination reason: Unknown
% 1.54/0.55 % (2451)Termination phase: Saturation
% 1.54/0.55
% 1.54/0.55 % (2451)Memory used [KB]: 5628
% 1.54/0.55 % (2451)Time elapsed: 0.161 s
% 1.54/0.55 % (2451)Instructions burned: 20 (million)
% 1.54/0.55 % (2451)------------------------------
% 1.54/0.55 % (2451)------------------------------
% 1.54/0.56 % (2453)Instruction limit reached!
% 1.54/0.56 % (2453)------------------------------
% 1.54/0.56 % (2453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (2453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (2453)Termination reason: Unknown
% 1.54/0.56 % (2453)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (2453)Memory used [KB]: 5884
% 1.54/0.56 % (2453)Time elapsed: 0.162 s
% 1.54/0.56 % (2453)Instructions burned: 33 (million)
% 1.54/0.56 % (2453)------------------------------
% 1.54/0.56 % (2453)------------------------------
% 1.54/0.56 % (2448)Instruction limit reached!
% 1.54/0.56 % (2448)------------------------------
% 1.54/0.56 % (2448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (2448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (2448)Termination reason: Unknown
% 1.54/0.56 % (2448)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (2448)Memory used [KB]: 6524
% 1.54/0.56 % (2448)Time elapsed: 0.165 s
% 1.54/0.56 % (2448)Instructions burned: 37 (million)
% 1.54/0.56 % (2448)------------------------------
% 1.54/0.56 % (2448)------------------------------
% 1.54/0.58 % (2456)Instruction limit reached!
% 1.54/0.58 % (2456)------------------------------
% 1.54/0.58 % (2456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (2456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (2456)Termination reason: Unknown
% 1.54/0.58 % (2456)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (2456)Memory used [KB]: 6524
% 1.54/0.58 % (2456)Time elapsed: 0.174 s
% 1.54/0.58 % (2456)Instructions burned: 38 (million)
% 1.54/0.58 % (2456)------------------------------
% 1.54/0.58 % (2456)------------------------------
% 1.54/0.59 % (2457)Instruction limit reached!
% 1.54/0.59 % (2457)------------------------------
% 1.54/0.59 % (2457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (2457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (2457)Termination reason: Unknown
% 1.54/0.59 % (2457)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (2457)Memory used [KB]: 6012
% 1.54/0.59 % (2457)Time elapsed: 0.192 s
% 1.54/0.59 % (2457)Instructions burned: 48 (million)
% 1.54/0.59 % (2457)------------------------------
% 1.54/0.59 % (2457)------------------------------
% 1.54/0.60 % (2475)First to succeed.
% 1.54/0.60 % (2475)Refutation found. Thanks to Tanya!
% 1.54/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.60 % (2475)------------------------------
% 1.54/0.60 % (2475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (2475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (2475)Termination reason: Refutation
% 1.54/0.60
% 1.54/0.60 % (2475)Memory used [KB]: 6012
% 1.54/0.60 % (2475)Time elapsed: 0.193 s
% 1.54/0.60 % (2475)Instructions burned: 34 (million)
% 1.54/0.60 % (2475)------------------------------
% 1.54/0.60 % (2475)------------------------------
% 1.54/0.60 % (2445)Success in time 0.247 s
%------------------------------------------------------------------------------