%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT162+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:37:03 PM UTC 2026
% Result : ContradictoryAxioms 0.24s 2.70s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-5 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f375,axiom,
! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(f525,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f527,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f529,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X5,X4,X3,X2,X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f1852,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f375]) ).
fof(f2055,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f525]) ).
fof(f2057,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f527]) ).
fof(f2059,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X5,X4,X3,X2,X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f529]) ).
fof(f2279,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(c_COMBS(X3,X4,X5,c_COMBB(X6,X7,X8,X0),X2),X1),
inference(superposition,[],[f2059,f2057]) ).
fof(f2330,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),X6),X7),
inference(superposition,[],[f1852,f2279]) ).
fof(f2341,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X0,X0) != hAPP(c_COMBS(X2,X3,X4,c_COMBB(X5,X6,X7,c_Nat_OSuc),c_COMBI(X1)),X0),
inference(superposition,[],[f2330,f2055]) ).
fof(f2361,plain,
$false,
inference(equality_resolution,[],[f2341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT162+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 23:51:30 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 0.24/2.70 % (2536513)Detected formulas, will run a generic FOF schedule.
% 0.24/2.70 % (2536525)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=452331285:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.24/2.70 % (2536530)dis-21_1_sil=8000:lcm=predicate:random_seed=2444578213:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.24/2.70 % (2536526)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4024076213:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.24/2.70 % (2536529)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=864620780:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.24/2.70 % (2536528)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1113035525:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.24/2.70 % (2536524)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=4111613061:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.24/2.70 % (2536527)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1368045671:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.24/2.70 % (2536527)Refutation not found, incomplete strategy
% 0.24/2.70 % (2536527)------------------------------
% 0.24/2.70 % (2536527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536527)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536527)Termination reason: Refutation not found, incomplete strategy
% 0.24/2.70 % (2536527)Time elapsed: 0.043 s
% 0.24/2.70 % (2536527)Peak memory usage: 89 MB
% 0.24/2.70 % (2536527)Instructions burned: 47 (million)
% 0.24/2.70 % (2536530)Instruction limit reached!
% 0.24/2.70 % (2536530)------------------------------
% 0.24/2.70 % (2536530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536530)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536530)Termination reason: Instruction limit
% 0.24/2.70 % (2536530)Termination phase: Saturation
% 0.24/2.70 % (2536530)Time elapsed: 0.121 s
% 0.24/2.70 % (2536530)Peak memory usage: 90 MB
% 0.24/2.70 % (2536530)Instructions burned: 130 (million)
% 0.24/2.70 % (2536528)Instruction limit reached!
% 0.24/2.70 % (2536528)------------------------------
% 0.24/2.70 % (2536528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536528)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536528)Termination reason: Instruction limit
% 0.24/2.70 % (2536528)Termination phase: Saturation
% 0.24/2.70 % (2536528)Time elapsed: 0.118 s
% 0.24/2.70 % (2536528)Peak memory usage: 89 MB
% 0.24/2.70 % (2536528)Instructions burned: 119 (million)
% 0.24/2.70 % (2536529)Instruction limit reached!
% 0.24/2.70 % (2536529)------------------------------
% 0.24/2.70 % (2536529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536529)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536529)Termination reason: Instruction limit
% 0.24/2.70 % (2536529)Termination phase: Saturation
% 0.24/2.70 % (2536529)Time elapsed: 0.133 s
% 0.24/2.70 % (2536529)Peak memory usage: 89 MB
% 0.24/2.70 % (2536529)Instructions burned: 139 (million)
% 0.24/2.70 % (2536538)lrs+10_1_sil=8000:sp=occurrence:random_seed=382959222:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 0.24/2.70 % (2536539)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2458757102:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 0.24/2.70 % (2536540)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2688444321:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 0.24/2.70 % (2536527)------------------------------
% 0.24/2.70 % (2536527)------------------------------
% 0.24/2.70 % (2536539)Instruction limit reached!
% 0.24/2.70 % (2536539)------------------------------
% 0.24/2.70 % (2536539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536539)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536539)Termination reason: Instruction limit
% 0.24/2.70 % (2536539)Termination phase: Saturation
% 0.24/2.70 % (2536539)Time elapsed: 0.147 s
% 0.24/2.70 % (2536539)Peak memory usage: 89 MB
% 0.24/2.70 % (2536539)Instructions burned: 158 (million)
% 0.24/2.70 % (2536538)Instruction limit reached!
% 0.24/2.70 % (2536538)------------------------------
% 0.24/2.70 % (2536538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536538)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536538)Termination reason: Instruction limit
% 0.24/2.70 % (2536538)Termination phase: Saturation
% 0.24/2.70 % (2536538)Time elapsed: 0.285 s
% 0.24/2.70 % (2536538)Peak memory usage: 92 MB
% 0.24/2.70 % (2536538)Instructions burned: 285 (million)
% 0.24/2.70 % (2536544)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2423400566:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 0.24/2.70 % (2536540)Instruction limit reached!
% 0.24/2.70 % (2536540)------------------------------
% 0.24/2.70 % (2536540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536540)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536540)Termination reason: Instruction limit
% 0.24/2.70 % (2536540)Termination phase: Saturation
% 0.24/2.70 % (2536540)Time elapsed: 0.312 s
% 0.24/2.70 % (2536540)Peak memory usage: 92 MB
% 0.24/2.70 % (2536540)Instructions burned: 325 (million)
% 0.24/2.70 % (2536545)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4031405924:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 0.24/2.70 % (2536544)Instruction limit reached!
% 0.24/2.70 % (2536544)------------------------------
% 0.24/2.70 % (2536544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536544)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536544)Termination reason: Instruction limit
% 0.24/2.70 % (2536544)Termination phase: Saturation
% 0.24/2.70 % (2536544)Time elapsed: 0.113 s
% 0.24/2.70 % (2536544)Peak memory usage: 90 MB
% 0.24/2.70 % (2536544)Instructions burned: 249 (million)
% 0.24/2.70 % (2536546)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2655458857:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 0.24/2.70 % (2536545)Refutation not found, incomplete strategy
% 0.24/2.70 % (2536545)------------------------------
% 0.24/2.70 % (2536545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536545)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536545)Termination reason: Refutation not found, incomplete strategy
% 0.24/2.70 % (2536545)Time elapsed: 0.037 s
% 0.24/2.70 % (2536545)Peak memory usage: 89 MB
% 0.24/2.70 % (2536545)Instructions burned: 63 (million)
% 0.24/2.70 % (2536525)First to succeed.
% 0.24/2.70 % (2536525)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2536513"
% 0.24/2.70 % (2536551)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3093327017:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 0.24/2.70 % (2536553)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2085124578:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 0.24/2.70 % (2536551)Instruction limit reached!
% 0.24/2.70 % (2536551)------------------------------
% 0.24/2.70 % (2536551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536551)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536551)Termination reason: Instruction limit
% 0.24/2.70 % (2536551)Termination phase: Saturation
% 0.24/2.70 % (2536551)Time elapsed: 0.058 s
% 0.24/2.70 % (2536551)Peak memory usage: 91 MB
% 0.24/2.70 % (2536551)Instructions burned: 115 (million)
% 0.24/2.70 % (2536553)Instruction limit reached!
% 0.24/2.70 % (2536553)------------------------------
% 0.24/2.70 % (2536553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536553)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536553)Termination reason: Instruction limit
% 0.24/2.70 % (2536553)Termination phase: Saturation
% 0.24/2.70 % (2536553)Time elapsed: 0.056 s
% 0.24/2.70 % (2536553)Peak memory usage: 89 MB
% 0.24/2.70 % (2536553)Instructions burned: 129 (million)
% 0.24/2.70 % (2536545)------------------------------
% 0.24/2.70 % (2536545)------------------------------
% 0.24/2.70 % (2536525)Refutation found. Thanks to Tanya!
% 0.24/2.70 % SZS status ContradictoryAxioms for theBenchmark
% 0.24/2.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/2.70 % (2536525)------------------------------
% 0.24/2.70 % (2536525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.70 % (2536525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.70 % (2536525)CaDiCaL version: 2.1.3
% 0.24/2.70 % (2536525)Termination reason: Refutation
% 0.24/2.70 % (2536525)Time elapsed: 0.864 s
% 0.24/2.70 % (2536525)Peak memory usage: 139 MB
% 0.24/2.70 % (2536525)Instructions burned: 1340 (million)
% 0.24/2.70 % (2536525)------------------------------
% 0.24/2.70 % (2536525)------------------------------
% 0.24/2.70 % (2536513)Success in time 1.363 s
% 0.24/2.70 % Vampire exiting
%------------------------------------------------------------------------------