%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV685-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:16 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.60s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,axiom,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f380,axiom,
! [X0] : hAPP(c_Suc,X0) != X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
fof(f719,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f721,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f738,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
inference(superposition,[],[f721,f719]) ).
fof(f776,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Suc)),X6),X7),
inference(superposition,[],[f380,f738]) ).
fof(f781,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Suc)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X0),
inference(superposition,[],[f776,f62]) ).
fof(f799,plain,
$false,
inference(equality_resolution,[],[f781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV685-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:15:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.70/1.60 % (1548790)Input is clausal, will run a generic CNF schedule.
% 5.70/1.60 % (1548796)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4157770947:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.70/1.60 % (1548800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3445915937:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.70/1.60 % (1548798)lrs+10_1_sil=8000:sp=occurrence:random_seed=2841844146:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.70/1.60 % (1548799)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1382511160:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.70/1.60 % (1548795)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=854285842:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.70/1.60 % (1548797)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2553712902:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.70/1.60 % (1548801)dis-21_1_sil=8000:lcm=predicate:random_seed=3719679176:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.70/1.60 % (1548798)Instruction limit reached!
% 5.70/1.60 % (1548798)------------------------------
% 5.70/1.60 % (1548798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (1548798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (1548798)CaDiCaL version: 2.1.3
% 5.70/1.60 % (1548798)Termination reason: Instruction limit
% 5.70/1.60 % (1548798)Termination phase: Saturation
% 5.70/1.60 % (1548798)Time elapsed: 0.066 s
% 5.70/1.60 % (1548798)Peak memory usage: 89 MB
% 5.70/1.60 % (1548798)Instructions burned: 107 (million)
% 5.70/1.60 % (1548799)Instruction limit reached!
% 5.70/1.60 % (1548799)------------------------------
% 5.70/1.60 % (1548799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (1548799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548799)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548799)Termination reason: Instruction limit
% 0.19/1.60 % (1548799)Termination phase: Saturation
% 0.19/1.60 % (1548799)Time elapsed: 0.068 s
% 0.19/1.60 % (1548799)Peak memory usage: 89 MB
% 0.19/1.60 % (1548799)Instructions burned: 114 (million)
% 0.19/1.60 % (1548801)Instruction limit reached!
% 0.19/1.60 % (1548801)------------------------------
% 0.19/1.60 % (1548801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548801)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548801)Termination reason: Instruction limit
% 0.19/1.60 % (1548801)Termination phase: Saturation
% 0.19/1.60 % (1548801)Time elapsed: 0.061 s
% 0.19/1.60 % (1548801)Peak memory usage: 89 MB
% 0.19/1.60 % (1548801)Instructions burned: 118 (million)
% 0.19/1.60 % (1548800)Instruction limit reached!
% 0.19/1.60 % (1548800)------------------------------
% 0.19/1.60 % (1548800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548800)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548800)Termination reason: Instruction limit
% 0.19/1.60 % (1548800)Termination phase: Saturation
% 0.19/1.60 % (1548800)Time elapsed: 0.116 s
% 0.19/1.60 % (1548800)Peak memory usage: 90 MB
% 0.19/1.60 % (1548800)Instructions burned: 180 (million)
% 0.19/1.60 % (1548810)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4183303246:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.19/1.60 % (1548809)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4181954393:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.19/1.60 % (1548809)Refutation not found, incomplete strategy
% 0.19/1.60 % (1548809)------------------------------
% 0.19/1.60 % (1548809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548809)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548809)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.60 % (1548809)Time elapsed: 0.017 s
% 0.19/1.60 % (1548809)Peak memory usage: 88 MB
% 0.19/1.60 % (1548809)Instructions burned: 27 (million)
% 0.19/1.60 % (1548811)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1796844329:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.19/1.60 % (1548812)lrs+10_64_to=lpo:sil=8000:random_seed=2098628409:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.19/1.60 % (1548810)Instruction limit reached!
% 0.19/1.60 % (1548810)------------------------------
% 0.19/1.60 % (1548810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548810)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548810)Termination reason: Instruction limit
% 0.19/1.60 % (1548810)Termination phase: Saturation
% 0.19/1.60 % (1548810)Time elapsed: 0.088 s
% 0.19/1.60 % (1548810)Peak memory usage: 89 MB
% 0.19/1.60 % (1548810)Instructions burned: 190 (million)
% 0.19/1.60 % (1548811)Instruction limit reached!
% 0.19/1.60 % (1548811)------------------------------
% 0.19/1.60 % (1548811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548811)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548811)Termination reason: Instruction limit
% 0.19/1.60 % (1548811)Termination phase: Saturation
% 0.19/1.60 % (1548811)Time elapsed: 0.101 s
% 0.19/1.60 % (1548811)Peak memory usage: 89 MB
% 0.19/1.60 % (1548811)Instructions burned: 220 (million)
% 0.19/1.60 % (1548812)Instruction limit reached!
% 0.19/1.60 % (1548812)------------------------------
% 0.19/1.60 % (1548812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548812)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548812)Termination reason: Instruction limit
% 0.19/1.60 % (1548812)Termination phase: Saturation
% 0.19/1.60 % (1548812)Time elapsed: 0.075 s
% 0.19/1.60 % (1548812)Peak memory usage: 89 MB
% 0.19/1.60 % (1548812)Instructions burned: 126 (million)
% 0.19/1.60 % (1548817)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2494747108:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.19/1.60 % (1548796)First to succeed.
% 0.19/1.60 % (1548796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1548790"
% 0.19/1.60 % (1548809)------------------------------
% 0.19/1.60 % (1548809)------------------------------
% 0.19/1.60 % (1548818)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1339848525:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 0.19/1.60 % (1548819)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1738826204:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 0.19/1.60 % (1548817)Instruction limit reached!
% 0.19/1.60 % (1548817)------------------------------
% 0.19/1.60 % (1548817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548817)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548817)Termination reason: Instruction limit
% 0.19/1.60 % (1548817)Termination phase: Saturation
% 0.19/1.60 % (1548817)Time elapsed: 0.125 s
% 0.19/1.60 % (1548817)Peak memory usage: 90 MB
% 0.19/1.60 % (1548817)Instructions burned: 195 (million)
% 0.19/1.60 % (1548818)Instruction limit reached!
% 0.19/1.60 % (1548818)------------------------------
% 0.19/1.60 % (1548818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548818)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548818)Termination reason: Instruction limit
% 0.19/1.60 % (1548818)Termination phase: Saturation
% 0.19/1.60 % (1548818)Time elapsed: 0.094 s
% 0.19/1.60 % (1548818)Peak memory usage: 90 MB
% 0.19/1.60 % (1548818)Instructions burned: 157 (million)
% 0.19/1.60 % (1548796)Refutation found. Thanks to Tanya!
% 0.19/1.60 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.60 % (1548796)------------------------------
% 0.19/1.60 % (1548796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.60 % (1548796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.60 % (1548796)CaDiCaL version: 2.1.3
% 0.19/1.60 % (1548796)Termination reason: Refutation
% 0.19/1.60 % (1548796)Time elapsed: 0.437 s
% 0.19/1.60 % (1548796)Peak memory usage: 136 MB
% 0.19/1.60 % (1548796)Instructions burned: 1168 (million)
% 0.19/1.60 % (1548796)------------------------------
% 0.19/1.60 % (1548796)------------------------------
% 0.19/1.60 % (1548790)Success in time 0.752 s
% 0.19/1.60 % Vampire exiting
%------------------------------------------------------------------------------