TSTP Solution File: SYO448^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO448^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 : Tue May 21 09:04:28 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO448^1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 10:55:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % (31702)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.36 % (31707)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.36 % (31707)Refutation not found, incomplete strategy
% 0.13/0.36 % (31707)------------------------------
% 0.13/0.36 % (31707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (31707)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (31707)Memory used [KB]: 5628
% 0.13/0.36 % (31707)Time elapsed: 0.005 s
% 0.13/0.36 % (31707)Instructions burned: 10 (million)
% 0.13/0.36 % (31707)------------------------------
% 0.13/0.36 % (31707)------------------------------
% 0.13/0.36 % (31703)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.36 % (31704)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.36 % (31705)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.36 % (31706)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.36 % (31708)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.36 % (31709)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.37 % (31705)Instruction limit reached!
% 0.13/0.37 % (31705)------------------------------
% 0.13/0.37 % (31705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (31705)Termination reason: Unknown
% 0.13/0.37 % (31705)Termination phase: shuffling
% 0.13/0.37 % (31706)Instruction limit reached!
% 0.13/0.37 % (31706)------------------------------
% 0.13/0.37 % (31706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (31706)Termination reason: Unknown
% 0.13/0.37 % (31706)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (31706)Memory used [KB]: 1023
% 0.13/0.37 % (31706)Time elapsed: 0.003 s
% 0.13/0.37 % (31706)Instructions burned: 3 (million)
% 0.13/0.37 % (31706)------------------------------
% 0.13/0.37 % (31706)------------------------------
% 0.13/0.37
% 0.13/0.37 % (31705)Memory used [KB]: 1023
% 0.13/0.37 % (31705)Time elapsed: 0.004 s
% 0.13/0.37 % (31705)Instructions burned: 3 (million)
% 0.13/0.37 % (31705)------------------------------
% 0.13/0.37 % (31705)------------------------------
% 0.13/0.37 % (31709)Instruction limit reached!
% 0.13/0.37 % (31709)------------------------------
% 0.13/0.37 % (31709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (31709)Termination reason: Unknown
% 0.13/0.37 % (31709)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (31709)Memory used [KB]: 1023
% 0.13/0.37 % (31709)Time elapsed: 0.004 s
% 0.13/0.37 % (31709)Instructions burned: 3 (million)
% 0.13/0.37 % (31709)------------------------------
% 0.13/0.37 % (31709)------------------------------
% 0.13/0.37 % (31703)Instruction limit reached!
% 0.13/0.37 % (31703)------------------------------
% 0.13/0.37 % (31703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (31703)Termination reason: Unknown
% 0.13/0.37 % (31703)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (31703)Memory used [KB]: 1023
% 0.13/0.37 % (31703)Time elapsed: 0.005 s
% 0.13/0.37 % (31703)Instructions burned: 5 (million)
% 0.13/0.37 % (31703)------------------------------
% 0.13/0.37 % (31703)------------------------------
% 0.13/0.37 % (31702)First to succeed.
% 0.13/0.37 % (31702)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37 thf(type_def_5, type, mu: $tType).
% 0.13/0.37 thf(func_def_0, type, mu: $tType).
% 0.13/0.37 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.13/0.37 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_15, type, mtrue: $i > $o).
% 0.13/0.37 thf(func_def_16, type, mfalse: $i > $o).
% 0.13/0.37 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.13/0.37 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.13/0.37 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.13/0.37 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.13/0.37 thf(func_def_36, type, p: $i > $o).
% 0.13/0.37 thf(func_def_37, type, q: $i > $o).
% 0.13/0.37 thf(f434,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f432])).
% 0.13/0.37 thf(f432,plain,(
% 0.13/0.37 ($false = $true)),
% 0.13/0.37 inference(superposition,[],[f424,f202])).
% 0.13/0.37 thf(f202,plain,(
% 0.13/0.37 ((q @ sK5) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f201])).
% 0.13/0.37 thf(f201,plain,(
% 0.13/0.37 ($false = ((~ (rel_s5 @ sK4 @ sK5)) | (q @ sK5)))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f200])).
% 0.13/0.37 thf(f200,plain,(
% 0.13/0.37 ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK4 @ Y0)) | (q @ Y0))) @ sK5))),
% 0.13/0.37 inference(sigma_clausification,[],[f199])).
% 0.13/0.37 thf(f199,plain,(
% 0.13/0.37 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK4 @ Y0)) | (q @ Y0)))))),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f195])).
% 0.13/0.37 thf(f195,plain,(
% 0.13/0.37 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK4 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK4 @ Y0)) | (p @ Y0)))))) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f194])).
% 0.13/0.37 thf(f194,plain,(
% 0.13/0.37 ($false = ((~ (rel_s5 @ sK1 @ sK4)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK4 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK4 @ Y0)) | (p @ Y0))))))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f193])).
% 0.13/0.37 thf(f193,plain,(
% 0.13/0.37 ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))))))) @ sK4))),
% 0.13/0.37 inference(sigma_clausification,[],[f174])).
% 0.13/0.37 thf(f174,plain,(
% 0.13/0.37 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1))))))))) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f173])).
% 0.13/0.37 thf(f173,plain,(
% 0.13/0.37 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))))))))))),
% 0.13/0.37 inference(beta_eta_normalization,[],[f172])).
% 0.13/0.37 thf(f172,plain,(
% 0.13/0.37 ($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2))))))))))) @ sK1))),
% 0.13/0.37 inference(sigma_clausification,[],[f171])).
% 0.13/0.37 thf(f171,plain,(
% 0.13/0.37 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))))))))))) != $true)),
% 0.13/0.37 inference(beta_eta_normalization,[],[f160])).
% 0.13/0.37 thf(f160,plain,(
% 0.13/0.37 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ q))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ q) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p))))) != $true)),
% 0.13/0.37 inference(definition_unfolding,[],[f141,f139,f119,f131,f149,f131,f131,f131,f149,f131,f131])).
% 0.13/0.37 thf(f149,plain,(
% 0.13/0.37 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.13/0.37 inference(definition_unfolding,[],[f134,f119,f124])).
% 0.13/0.37 thf(f124,plain,(
% 0.13/0.37 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f67])).
% 0.13/0.37 thf(f67,plain,(
% 0.13/0.37 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.37 inference(fool_elimination,[],[f66])).
% 0.13/0.37 thf(f66,plain,(
% 0.13/0.37 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.13/0.37 inference(rectify,[],[f3])).
% 0.13/0.37 thf(f3,axiom,(
% 0.13/0.37 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.13/0.37 thf(f134,plain,(
% 0.13/0.37 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.13/0.37 inference(cnf_transformation,[],[f104])).
% 0.13/0.37 thf(f104,plain,(
% 0.13/0.37 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.13/0.37 inference(fool_elimination,[],[f103])).
% 0.13/0.37 thf(f103,plain,(
% 0.13/0.37 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.13/0.37 inference(rectify,[],[f6])).
% 0.13/0.37 thf(f6,axiom,(
% 0.13/0.37 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.13/0.37 thf(f131,plain,(
% 0.13/0.37 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f69])).
% 0.13/0.37 thf(f69,plain,(
% 0.13/0.37 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.13/0.37 inference(fool_elimination,[],[f68])).
% 0.13/0.37 thf(f68,plain,(
% 0.13/0.37 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s5 @ X1 @ X2)))) = mbox_s5)),
% 0.13/0.37 inference(rectify,[],[f32])).
% 0.13/0.37 thf(f32,axiom,(
% 0.13/0.37 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(rel_s5 @ X2 @ X7)))) = mbox_s5)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
% 0.13/0.37 thf(f119,plain,(
% 0.13/0.37 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f59])).
% 0.13/0.37 thf(f59,plain,(
% 0.13/0.37 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.13/0.37 inference(fool_elimination,[],[f58])).
% 0.13/0.37 thf(f58,plain,(
% 0.13/0.37 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.13/0.37 inference(rectify,[],[f4])).
% 0.13/0.37 thf(f4,axiom,(
% 0.13/0.37 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.13/0.37 thf(f139,plain,(
% 0.13/0.37 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.37 inference(cnf_transformation,[],[f45])).
% 0.13/0.37 thf(f45,plain,(
% 0.13/0.37 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.37 inference(fool_elimination,[],[f44])).
% 0.13/0.37 thf(f44,plain,(
% 0.13/0.37 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.13/0.37 inference(rectify,[],[f28])).
% 0.13/0.37 thf(f28,axiom,(
% 0.13/0.37 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.13/0.37 thf(f141,plain,(
% 0.13/0.37 ((mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p))))) != $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f110])).
% 0.13/0.37 thf(f110,plain,(
% 0.13/0.37 ((mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p))))) != $true)),
% 0.13/0.37 inference(flattening,[],[f82])).
% 0.13/0.37 thf(f82,plain,(
% 0.13/0.37 ~((mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p))))) = $true)),
% 0.13/0.37 inference(fool_elimination,[],[f81])).
% 0.13/0.37 thf(f81,plain,(
% 0.13/0.37 ~(mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p)))))),
% 0.13/0.37 inference(rectify,[],[f38])).
% 0.13/0.37 thf(f38,negated_conjecture,(
% 0.13/0.37 ~(mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p)))))),
% 0.13/0.37 inference(negated_conjecture,[],[f37])).
% 0.13/0.37 thf(f37,conjecture,(
% 0.13/0.37 (mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p)))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.13/0.37 thf(f424,plain,(
% 0.13/0.37 ((q @ sK5) = $true)),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f420])).
% 0.13/0.37 thf(f420,plain,(
% 0.13/0.37 ((q @ sK5) = $true) | ($false = $true)),
% 0.13/0.37 inference(superposition,[],[f375,f395])).
% 0.13/0.37 thf(f395,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (((rel_s5 @ sK1 @ X0) = $false) | ((q @ X0) = $true)) )),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f386])).
% 0.13/0.37 thf(f386,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (($false = $true) | ((q @ X0) = $true) | ((rel_s5 @ sK1 @ X0) = $false)) )),
% 0.13/0.37 inference(superposition,[],[f312,f192])).
% 0.13/0.37 thf(f192,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (((rel_s5 @ sK2 @ X1) = $false) | ((q @ X1) = $true)) )),
% 0.13/0.37 inference(not_proxy_clausification,[],[f191])).
% 0.13/0.37 thf(f191,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (((~ (rel_s5 @ sK2 @ X1)) = $true) | ((q @ X1) = $true)) )),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f190])).
% 0.13/0.37 thf(f190,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK2 @ X1)) | (q @ X1)) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f189])).
% 0.13/0.37 thf(f189,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))) @ X1) = $true)) )),
% 0.13/0.37 inference(pi_clausification,[],[f188])).
% 0.13/0.37 thf(f188,plain,(
% 0.13/0.37 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))),
% 0.13/0.37 inference(not_proxy_clausification,[],[f181])).
% 0.13/0.37 thf(f181,plain,(
% 0.13/0.37 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f178])).
% 0.13/0.37 thf(f178,plain,(
% 0.13/0.37 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))))),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f177])).
% 0.13/0.37 thf(f177,plain,(
% 0.13/0.37 (((~ (rel_s5 @ sK1 @ sK2)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))))) = $false)),
% 0.13/0.37 inference(beta_eta_normalization,[],[f176])).
% 0.13/0.37 thf(f176,plain,(
% 0.13/0.37 ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))))))) @ sK2))),
% 0.13/0.37 inference(sigma_clausification,[],[f175])).
% 0.13/0.37 thf(f175,plain,(
% 0.13/0.37 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))))) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f173])).
% 0.13/0.37 thf(f312,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (((rel_s5 @ sK2 @ X0) = $true) | ((rel_s5 @ sK1 @ X0) = $false)) )),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f290])).
% 0.13/0.37 thf(f290,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (($false = $true) | ((rel_s5 @ sK2 @ X0) = $true) | ((rel_s5 @ sK1 @ X0) = $false)) )),
% 0.13/0.37 inference(superposition,[],[f246,f170])).
% 0.13/0.37 thf(f170,plain,(
% 0.13/0.37 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (rel_s5 @ X1 @ X3)) | ((rel_s5 @ X1 @ X2) = $true) | ((rel_s5 @ X3 @ X2) = $false)) )),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f169])).
% 0.13/0.37 thf(f169,plain,(
% 0.13/0.37 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel_s5 @ X1 @ X3) & (rel_s5 @ X3 @ X2))) | ((rel_s5 @ X1 @ X2) = $true)) )),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f168])).
% 0.13/0.37 thf(f168,plain,(
% 0.13/0.37 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((rel_s5 @ X1 @ X3) & (rel_s5 @ X3 @ X2)) => (rel_s5 @ X1 @ X2)) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f167])).
% 0.13/0.37 thf(f167,plain,(
% 0.13/0.37 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((rel_s5 @ X1 @ Y0) & (rel_s5 @ Y0 @ X2)) => (rel_s5 @ X1 @ X2))) @ X3) = $true)) )),
% 0.13/0.37 inference(pi_clausification,[],[f166])).
% 0.13/0.37 thf(f166,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((rel_s5 @ X1 @ Y0) & (rel_s5 @ Y0 @ X2)) => (rel_s5 @ X1 @ X2)))) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f165])).
% 0.13/0.37 thf(f165,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ X1 @ Y1) & (rel_s5 @ Y1 @ Y0)) => (rel_s5 @ X1 @ Y0))))) @ X2) = $true)) )),
% 0.13/0.37 inference(pi_clausification,[],[f164])).
% 0.13/0.37 thf(f164,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ X1 @ Y1) & (rel_s5 @ Y1 @ Y0)) => (rel_s5 @ X1 @ Y0)))))) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f163])).
% 0.13/0.37 thf(f163,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y0 @ Y2) & (rel_s5 @ Y2 @ Y1)) => (rel_s5 @ Y0 @ Y1))))))) @ X1))) )),
% 0.13/0.37 inference(pi_clausification,[],[f162])).
% 0.13/0.37 thf(f162,plain,(
% 0.13/0.37 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y0 @ Y2) & (rel_s5 @ Y2 @ Y1)) => (rel_s5 @ Y0 @ Y1)))))))) = $true)),
% 0.13/0.37 inference(beta_eta_normalization,[],[f159])).
% 0.13/0.37 thf(f159,plain,(
% 0.13/0.37 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) @ rel_s5) = $true)),
% 0.13/0.37 inference(definition_unfolding,[],[f132,f125])).
% 0.13/0.37 thf(f125,plain,(
% 0.13/0.37 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f80])).
% 0.13/0.37 thf(f80,plain,(
% 0.13/0.37 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
% 0.13/0.37 inference(fool_elimination,[],[f79])).
% 0.13/0.37 thf(f79,plain,(
% 0.13/0.37 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X3 @ X1)) => (X0 @ X3 @ X2)))))),
% 0.13/0.37 inference(rectify,[],[f21])).
% 0.13/0.37 thf(f21,axiom,(
% 0.13/0.37 (mtransitive = (^[X6 : $i > $i > $o] : (! [X9,X10,X8] : (((X6 @ X9 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X8 @ X10)))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 0.13/0.37 thf(f132,plain,(
% 0.13/0.37 ((mtransitive @ rel_s5) = $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f86])).
% 0.13/0.37 thf(f86,plain,(
% 0.13/0.37 ((mtransitive @ rel_s5) = $true)),
% 0.13/0.37 inference(fool_elimination,[],[f85])).
% 0.13/0.37 thf(f85,plain,(
% 0.13/0.37 (mtransitive @ rel_s5)),
% 0.13/0.37 inference(rectify,[],[f35])).
% 0.13/0.37 thf(f35,axiom,(
% 0.13/0.37 (mtransitive @ rel_s5)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2)).
% 0.13/0.37 thf(f246,plain,(
% 0.13/0.37 ((rel_s5 @ sK2 @ sK1) = $true)),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f228])).
% 0.13/0.37 thf(f228,plain,(
% 0.13/0.37 ($false = $true) | ((rel_s5 @ sK2 @ sK1) = $true)),
% 0.13/0.37 inference(superposition,[],[f215,f180])).
% 0.13/0.37 thf(f180,plain,(
% 0.13/0.37 ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.13/0.37 inference(not_proxy_clausification,[],[f179])).
% 0.13/0.37 thf(f179,plain,(
% 0.13/0.37 ((~ (rel_s5 @ sK1 @ sK2)) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f177])).
% 0.13/0.37 thf(f215,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : (($false = (rel_s5 @ X2 @ X1)) | ((rel_s5 @ X1 @ X2) = $true)) )),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f214])).
% 0.13/0.37 thf(f214,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : ((((rel_s5 @ X2 @ X1) => (rel_s5 @ X1 @ X2)) = $true)) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f213])).
% 0.13/0.37 thf(f213,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0))) @ X2) = $true)) )),
% 0.13/0.37 inference(pi_clausification,[],[f212])).
% 0.13/0.37 thf(f212,plain,(
% 0.13/0.37 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0)))))) )),
% 0.13/0.37 inference(beta_eta_normalization,[],[f211])).
% 0.13/0.37 thf(f211,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.13/0.37 inference(pi_clausification,[],[f210])).
% 0.13/0.37 thf(f210,plain,(
% 0.13/0.37 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1)))))) = $true)),
% 0.13/0.37 inference(beta_eta_normalization,[],[f161])).
% 0.13/0.37 thf(f161,plain,(
% 0.13/0.37 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ rel_s5) = $true)),
% 0.13/0.37 inference(definition_unfolding,[],[f145,f146])).
% 0.13/0.37 thf(f146,plain,(
% 0.13/0.37 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.13/0.37 inference(cnf_transformation,[],[f65])).
% 0.13/0.37 thf(f65,plain,(
% 0.13/0.37 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.13/0.37 inference(fool_elimination,[],[f64])).
% 0.13/0.37 thf(f64,plain,(
% 0.13/0.37 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))) = msymmetric)),
% 0.13/0.37 inference(rectify,[],[f19])).
% 0.13/0.37 thf(f19,axiom,(
% 0.13/0.37 ((^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.13/0.37 thf(f145,plain,(
% 0.13/0.37 ((msymmetric @ rel_s5) = $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f100])).
% 0.13/0.37 thf(f100,plain,(
% 0.13/0.37 ((msymmetric @ rel_s5) = $true)),
% 0.13/0.37 inference(fool_elimination,[],[f99])).
% 0.13/0.37 thf(f99,plain,(
% 0.13/0.37 (msymmetric @ rel_s5)),
% 0.13/0.37 inference(rectify,[],[f36])).
% 0.13/0.37 thf(f36,axiom,(
% 0.13/0.37 (msymmetric @ rel_s5)),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3)).
% 0.13/0.37 thf(f375,plain,(
% 0.13/0.37 ((rel_s5 @ sK1 @ sK5) = $true)),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f365])).
% 0.13/0.37 thf(f365,plain,(
% 0.13/0.37 ($false = $true) | ((rel_s5 @ sK1 @ sK5) = $true)),
% 0.13/0.37 inference(superposition,[],[f316,f204])).
% 0.13/0.37 thf(f204,plain,(
% 0.13/0.37 ((rel_s5 @ sK4 @ sK5) = $true)),
% 0.13/0.37 inference(not_proxy_clausification,[],[f203])).
% 0.13/0.37 thf(f203,plain,(
% 0.13/0.37 ((~ (rel_s5 @ sK4 @ sK5)) = $false)),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f201])).
% 0.13/0.37 thf(f316,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (($false = (rel_s5 @ sK4 @ X0)) | ((rel_s5 @ sK1 @ X0) = $true)) )),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f285])).
% 0.13/0.37 thf(f285,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (((rel_s5 @ sK1 @ X0) = $true) | ($false = $true) | ($false = (rel_s5 @ sK4 @ X0))) )),
% 0.13/0.37 inference(superposition,[],[f170,f197])).
% 0.13/0.37 thf(f197,plain,(
% 0.13/0.37 ($true = (rel_s5 @ sK1 @ sK4))),
% 0.13/0.37 inference(not_proxy_clausification,[],[f196])).
% 0.13/0.37 thf(f196,plain,(
% 0.13/0.37 ($false = (~ (rel_s5 @ sK1 @ sK4)))),
% 0.13/0.37 inference(binary_proxy_clausification,[],[f194])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (31702)------------------------------
% 0.13/0.37 % (31702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (31702)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (31702)Memory used [KB]: 5756
% 0.13/0.37 % (31702)Time elapsed: 0.012 s
% 0.13/0.37 % (31702)Instructions burned: 27 (million)
% 0.13/0.37 % (31702)------------------------------
% 0.13/0.37 % (31702)------------------------------
% 0.13/0.37 % (31701)Success in time 0.009 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------