%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:39:36 PM UTC 2026
% Result : Unsatisfiable 7.98s 2.08s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset1) ).
fof(f162,axiom,
subset(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_contains_b) ).
fof(f163,axiom,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_contains_a) ).
fof(f164,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove__a_equals_b) ).
fof(f165,plain,
b != a,
inference(reorient_equations,[],[f164]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f79,f162]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[],[f79,f163]) ).
fof(f214,plain,
! [X0] :
( member(f1(a,X0),b)
| member(f1(a,X0),X0)
| a = X0 ),
inference(resolution,[],[f3,f209]) ).
fof(f220,plain,
( member(f1(a,b),b)
| b = a ),
inference(factoring,[],[f214]) ).
fof(f223,plain,
member(f1(a,b),b),
inference(forward_subsumption_resolution,[],[f220,f165]) ).
fof(f224,plain,
( ~ member(f1(a,b),a)
| b = a ),
inference(resolution,[],[f223,f4]) ).
fof(f225,plain,
member(f1(a,b),a),
inference(resolution,[],[f223,f208]) ).
fof(f226,plain,
b = a,
inference(forward_subsumption_resolution,[],[f224,f225]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[],[f226,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 00:08:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.43/1.89 % (1309319)Input is clausal, will run a generic CNF schedule.
% 6.43/1.89 % (1309334)lrs+10_1_sil=8000:sp=occurrence:random_seed=3000702701:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.43/1.89 % (1309334)Refutation not found, incomplete strategy
% 6.43/1.89 % (1309334)------------------------------
% 6.43/1.89 % (1309334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.89 % (1309334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.89 % (1309334)CaDiCaL version: 2.1.3
% 6.43/1.89 % (1309334)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.89 % (1309334)Time elapsed: 0.001 s
% 6.43/1.89 % (1309334)Peak memory usage: 87 MB
% 6.43/1.89 % (1309335)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2505929051:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.43/1.89 % (1309335)Refutation not found, incomplete strategy
% 6.43/1.89 % (1309335)------------------------------
% 6.43/1.89 % (1309335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.89 % (1309335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.89 % (1309335)CaDiCaL version: 2.1.3
% 6.43/1.89 % (1309335)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.89 % (1309335)Time elapsed: 0.001 s
% 6.43/1.89 % (1309335)Peak memory usage: 88 MB
% 6.43/1.89 % (1309336)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3252369408:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.43/1.89 % (1309337)dis-21_1_sil=8000:lcm=predicate:random_seed=3798587117: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)
% 6.43/1.89 % (1309332)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3889201829:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.43/1.89 % (1309331)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=3057187070:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.43/1.89 % (1309333)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1382526548:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.43/1.89 % (1309337)Instruction limit reached!
% 6.43/1.89 % (1309337)------------------------------
% 6.43/1.89 % (1309337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.89 % (1309337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.89 % (1309337)CaDiCaL version: 2.1.3
% 6.43/1.89 % (1309337)Termination reason: Instruction limit
% 6.43/1.89 % (1309337)Termination phase: Saturation
% 6.43/1.89 % (1309337)Time elapsed: 0.063 s
% 6.43/1.89 % (1309337)Peak memory usage: 88 MB
% 6.43/1.89 % (1309337)Instructions burned: 118 (million)
% 6.43/1.89 % (1309334)------------------------------
% 6.43/1.89 % (1309334)------------------------------
% 6.43/1.89 % (1309336)Instruction limit reached!
% 6.43/1.89 % (1309336)------------------------------
% 6.43/1.89 % (1309336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.89 % (1309336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.89 % (1309336)CaDiCaL version: 2.1.3
% 6.43/1.89 % (1309336)Termination reason: Instruction limit
% 6.43/1.89 % (1309336)Termination phase: Saturation
% 6.43/1.89 % (1309336)Time elapsed: 0.133 s
% 6.43/1.89 % (1309336)Peak memory usage: 90 MB
% 6.43/1.89 % (1309336)Instructions burned: 181 (million)
% 6.43/1.89 % (1309345)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=4212429588:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.43/1.89 % (1309346)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4221770343: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)
% 6.43/1.89 % (1309346)Refutation not found, incomplete strategy
% 6.43/1.89 % (1309346)------------------------------
% 6.43/1.89 % (1309346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/1.89 % (1309346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.89 % (1309346)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309346)Termination reason: Refutation not found, incomplete strategy
% 7.98/2.08 % (1309346)Time elapsed: 0.003 s
% 7.98/2.08 % (1309346)Peak memory usage: 88 MB
% 7.98/2.08 % (1309346)Instructions burned: 7 (million)
% 7.98/2.08 % (1309345)Refutation not found, incomplete strategy
% 7.98/2.08 % (1309345)------------------------------
% 7.98/2.08 % (1309345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309345)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309345)Termination reason: Refutation not found, incomplete strategy
% 7.98/2.08 % (1309345)Time elapsed: 0.008 s
% 7.98/2.08 % (1309345)Peak memory usage: 88 MB
% 7.98/2.08 % (1309345)Instructions burned: 11 (million)
% 7.98/2.08 % (1309335)------------------------------
% 7.98/2.08 % (1309335)------------------------------
% 7.98/2.08 % (1309347)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=810362394:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.98/2.08 % (1309346)------------------------------
% 7.98/2.08 % (1309346)------------------------------
% 7.98/2.08 % (1309350)lrs+10_64_to=lpo:sil=8000:random_seed=1672547595:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.98/2.08 % (1309347)Instruction limit reached!
% 7.98/2.08 % (1309347)------------------------------
% 7.98/2.08 % (1309347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309347)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309347)Termination reason: Instruction limit
% 7.98/2.08 % (1309347)Termination phase: Saturation
% 7.98/2.08 % (1309347)Time elapsed: 0.120 s
% 7.98/2.08 % (1309347)Peak memory usage: 89 MB
% 7.98/2.08 % (1309347)Instructions burned: 220 (million)
% 7.98/2.08 % (1309352)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1230185344:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.98/2.08 % (1309345)------------------------------
% 7.98/2.08 % (1309345)------------------------------
% 7.98/2.08 % (1309350)Instruction limit reached!
% 7.98/2.08 % (1309350)------------------------------
% 7.98/2.08 % (1309350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309350)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309350)Termination reason: Instruction limit
% 7.98/2.08 % (1309350)Termination phase: Saturation
% 7.98/2.08 % (1309350)Time elapsed: 0.074 s
% 7.98/2.08 % (1309350)Peak memory usage: 90 MB
% 7.98/2.08 % (1309350)Instructions burned: 127 (million)
% 7.98/2.08 % (1309352)Instruction limit reached!
% 7.98/2.08 % (1309352)------------------------------
% 7.98/2.08 % (1309352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309352)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309352)Termination reason: Instruction limit
% 7.98/2.08 % (1309352)Termination phase: Saturation
% 7.98/2.08 % (1309352)Time elapsed: 0.069 s
% 7.98/2.08 % (1309352)Peak memory usage: 89 MB
% 7.98/2.08 % (1309352)Instructions burned: 196 (million)
% 7.98/2.08 % (1309354)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2417044964:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.98/2.08 % (1309356)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1260320984:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.98/2.08 % (1309357)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1924049216:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.98/2.08 % (1309358)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=956797435:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.98/2.08 % (1309354)Instruction limit reached!
% 7.98/2.08 % (1309354)------------------------------
% 7.98/2.08 % (1309354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309354)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309354)Termination reason: Instruction limit
% 7.98/2.08 % (1309354)Termination phase: Saturation
% 7.98/2.08 % (1309354)Time elapsed: 0.101 s
% 7.98/2.08 % (1309354)Peak memory usage: 91 MB
% 7.98/2.08 % (1309354)Instructions burned: 158 (million)
% 7.98/2.08 % (1309357)Instruction limit reached!
% 7.98/2.08 % (1309357)------------------------------
% 7.98/2.08 % (1309357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309357)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309357)Termination reason: Instruction limit
% 7.98/2.08 % (1309357)Termination phase: Saturation
% 7.98/2.08 % (1309357)Time elapsed: 0.057 s
% 7.98/2.08 % (1309357)Peak memory usage: 89 MB
% 7.98/2.08 % (1309357)Instructions burned: 106 (million)
% 7.98/2.08 % (1309358)Instruction limit reached!
% 7.98/2.08 % (1309358)------------------------------
% 7.98/2.08 % (1309358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309358)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309358)Termination reason: Instruction limit
% 7.98/2.08 % (1309358)Termination phase: Saturation
% 7.98/2.08 % (1309358)Time elapsed: 0.040 s
% 7.98/2.08 % (1309358)Peak memory usage: 90 MB
% 7.98/2.08 % (1309358)Instructions burned: 108 (million)
% 7.98/2.08 % (1309331)First to succeed.
% 7.98/2.08 % (1309331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1309319"
% 7.98/2.08 % (1309365)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1392563360:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.98/2.08 % (1309363)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=991468535:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.98/2.08 % (1309364)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3487681161:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.98/2.08 % (1309365)Instruction limit reached!
% 7.98/2.08 % (1309365)------------------------------
% 7.98/2.08 % (1309365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309365)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309365)Termination reason: Instruction limit
% 7.98/2.08 % (1309365)Termination phase: Saturation
% 7.98/2.08 % (1309365)Time elapsed: 0.042 s
% 7.98/2.08 % (1309365)Peak memory usage: 89 MB
% 7.98/2.08 % (1309365)Instructions burned: 134 (million)
% 7.98/2.08 % (1309369)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3909786828:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.98/2.08 % (1309331)Refutation found. Thanks to Tanya!
% 7.98/2.08 % SZS status Unsatisfiable for theBenchmark
% 7.98/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/2.08 % (1309331)------------------------------
% 7.98/2.08 % (1309331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.08 % (1309331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.08 % (1309331)CaDiCaL version: 2.1.3
% 7.98/2.08 % (1309331)Termination reason: Refutation
% 7.98/2.08 % (1309331)Time elapsed: 0.636 s
% 7.98/2.08 % (1309331)Peak memory usage: 129 MB
% 7.98/2.08 % (1309331)Instructions burned: 956 (million)
% 7.98/2.08 % (1309331)------------------------------
% 7.98/2.08 % (1309331)------------------------------
% 7.98/2.08 % (1309319)Success in time 1.045 s
% 7.98/2.08 % Vampire exiting
%------------------------------------------------------------------------------