%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV821-1 : 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 : n018.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 01:19:35 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.13s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 10 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1442,axiom,
! [X0] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).
fof(f1518,axiom,
! [X2,X3,X0,X1] :
( X0 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
fof(f1519,plain,
! [X2,X3,X0,X1] :
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3)) = X0
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3) ),
inference(reorient_equations,[],[f1518]) ).
fof(f1544,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1617,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_nat) != X0
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3) ),
inference(superposition,[],[f1442,f1519]) ).
fof(f4346,plain,
! [X2,X0,X1] : ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X0),X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),
inference(equality_resolution,[],[f1617]) ).
fof(f4347,plain,
$false,
inference(resolution,[],[f4346,f1544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:41:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.20/1.13 % (3356548)Input is clausal, will run a generic CNF schedule.
% 0.20/1.13 % (3356559)dis-21_1_sil=8000:lcm=predicate:random_seed=1114532436: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)
% 0.20/1.13 % (3356556)lrs+10_1_sil=8000:sp=occurrence:random_seed=349882282:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.13 % (3356554)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=305658999:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.13 % (3356558)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3608526613:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.13 % (3356553)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=687544468:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.13 % (3356557)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4141407536:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.13 % (3356555)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4268416048:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.13 % (3356559)Instruction limit reached!
% 0.20/1.13 % (3356559)------------------------------
% 0.20/1.13 % (3356559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356559)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356559)Termination reason: Instruction limit
% 0.20/1.13 % (3356559)Termination phase: Saturation
% 0.20/1.13 % (3356559)Time elapsed: 0.038 s
% 0.20/1.13 % (3356559)Peak memory usage: 90 MB
% 0.20/1.13 % (3356559)Instructions burned: 119 (million)
% 0.20/1.13 % (3356556)Instruction limit reached!
% 0.20/1.13 % (3356556)------------------------------
% 0.20/1.13 % (3356556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356556)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356556)Termination reason: Instruction limit
% 0.20/1.13 % (3356556)Termination phase: Saturation
% 0.20/1.13 % (3356556)Time elapsed: 0.070 s
% 0.20/1.13 % (3356556)Peak memory usage: 89 MB
% 0.20/1.13 % (3356556)Instructions burned: 107 (million)
% 0.20/1.13 % (3356557)Instruction limit reached!
% 0.20/1.13 % (3356557)------------------------------
% 0.20/1.13 % (3356557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356557)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356557)Termination reason: Instruction limit
% 0.20/1.13 % (3356557)Termination phase: Saturation
% 0.20/1.13 % (3356557)Time elapsed: 0.075 s
% 0.20/1.13 % (3356557)Peak memory usage: 89 MB
% 0.20/1.13 % (3356557)Instructions burned: 114 (million)
% 0.20/1.13 % (3356567)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=2539114806:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.20/1.13 % (3356558)First to succeed.
% 0.20/1.13 % (3356558)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3356548"
% 0.20/1.13 % (3356567)Instruction limit reached!
% 0.20/1.13 % (3356567)------------------------------
% 0.20/1.13 % (3356567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356567)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356567)Termination reason: Instruction limit
% 0.20/1.13 % (3356567)Termination phase: Saturation
% 0.20/1.13 % (3356567)Time elapsed: 0.030 s
% 0.20/1.13 % (3356567)Peak memory usage: 88 MB
% 0.20/1.13 % (3356567)Instructions burned: 144 (million)
% 0.20/1.13 % (3356569)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1839848456:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.20/1.13 % (3356571)lrs+10_64_to=lpo:sil=8000:random_seed=3220282419:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.20/1.13 % (3356568)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3090700705: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)
% 0.20/1.13 % (3356569)Refutation not found, incomplete strategy
% 0.20/1.13 % (3356569)------------------------------
% 0.20/1.13 % (3356569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356569)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356569)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.13 % (3356569)Time elapsed: 0.017 s
% 0.20/1.13 % (3356569)Peak memory usage: 89 MB
% 0.20/1.13 % (3356569)Instructions burned: 28 (million)
% 0.20/1.13 % (3356568)Also succeeded, but the first one will report.
% 0.20/1.13 % (3356571)Instruction limit reached!
% 0.20/1.13 % (3356571)------------------------------
% 0.20/1.13 % (3356571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356571)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356571)Termination reason: Instruction limit
% 0.20/1.13 % (3356571)Termination phase: Saturation
% 0.20/1.13 % (3356571)Time elapsed: 0.043 s
% 0.20/1.13 % (3356571)Peak memory usage: 90 MB
% 0.20/1.13 % (3356571)Instructions burned: 128 (million)
% 0.20/1.13 % (3356575)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3968620374:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.20/1.13 % (3356558)Refutation found. Thanks to Tanya!
% 0.20/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.13 % (3356558)------------------------------
% 0.20/1.13 % (3356558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3356558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3356558)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3356558)Termination reason: Refutation
% 0.20/1.13 % (3356558)Time elapsed: 0.090 s
% 0.20/1.13 % (3356558)Peak memory usage: 90 MB
% 0.20/1.13 % (3356558)Instructions burned: 137 (million)
% 0.20/1.13 % (3356558)------------------------------
% 0.20/1.13 % (3356558)------------------------------
% 0.20/1.13 % (3356548)Success in time 0.515 s
% 0.20/1.13 % Vampire exiting
%------------------------------------------------------------------------------