%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN572-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 5.66s 1.57s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
fof(f4,negated_conjecture,
! [X0] : p4(f10(f9(X0)),f10(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
! [X0] : p2(f3(X0,f5(f7(f8(c13)))),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( p4(f10(X0),f10(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).
fof(f11,negated_conjecture,
! [X0] : p2(f3(X0,f9(X0)),f5(f7(f8(c13)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f15,negated_conjecture,
! [X0,X1] : p12(f10(f3(X0,X1)),f11(f10(X0),f10(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_15) ).
fof(f16,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_16) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] : p2(f3(X0,f3(X1,X2)),f3(f3(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( p12(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X3,X1)
| ~ p12(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_18) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f11(X0,X1),f11(X2,X3))
| ~ p4(X0,X2)
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f3(X0,X1),f3(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
fof(f127,plain,
! [X0,X1] : p4(f11(X0,f10(f9(X1))),f11(X0,f10(X1))),
inference(unit_resulting_resolution,[],[f19,f4,f3]) ).
fof(f196,plain,
! [X0,X1] : p2(f3(X0,f3(X1,f9(X1))),f3(X0,f5(f7(f8(c13))))),
inference(unit_resulting_resolution,[],[f20,f11,f1]) ).
fof(f360,plain,
~ p4(f10(f3(f3(c14,c15),f9(c15))),f10(c14)),
inference(unit_resulting_resolution,[],[f18,f16,f15,f127]) ).
fof(f1184,plain,
! [X0,X1] : p2(f3(X0,f5(f7(f8(c13)))),f3(f3(X0,X1),f9(X1))),
inference(unit_resulting_resolution,[],[f12,f17,f196]) ).
fof(f2358,plain,
~ p2(f3(f3(c14,c15),f9(c15)),c14),
inference(unit_resulting_resolution,[],[f9,f360]) ).
fof(f2373,plain,
~ p2(f3(c14,f5(f7(f8(c13)))),f3(f3(c14,c15),f9(c15))),
inference(unit_resulting_resolution,[],[f12,f5,f2358]) ).
fof(f2380,plain,
$false,
inference(forward_subsumption_resolution,[],[f2373,f1184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN572-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:34:34 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 5.66/1.57 % (472224)Input is clausal, will run a generic CNF schedule.
% 5.66/1.57 % (472233)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=995790424:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.66/1.57 % (472233)Instruction limit reached!
% 5.66/1.57 % (472233)------------------------------
% 5.66/1.57 % (472233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472233)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472233)Termination reason: Instruction limit
% 5.66/1.57 % (472233)Termination phase: Saturation
% 5.66/1.57 % (472233)Time elapsed: 0.041 s
% 5.66/1.57 % (472233)Peak memory usage: 88 MB
% 5.66/1.57 % (472233)Instructions burned: 115 (million)
% 5.66/1.57 % (472230)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2653523575:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.66/1.57 % (472229)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=284951121:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.66/1.57 % (472231)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2294370252:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.66/1.57 % (472232)lrs+10_1_sil=8000:sp=occurrence:random_seed=4183314487:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.66/1.57 % (472235)dis-21_1_sil=8000:lcm=predicate:random_seed=1146431587: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)
% 5.66/1.57 % (472234)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1524569164:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.66/1.57 % (472232)Instruction limit reached!
% 5.66/1.57 % (472232)------------------------------
% 5.66/1.57 % (472232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472232)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472232)Termination reason: Instruction limit
% 5.66/1.57 % (472232)Termination phase: Saturation
% 5.66/1.57 % (472232)Time elapsed: 0.065 s
% 5.66/1.57 % (472232)Peak memory usage: 88 MB
% 5.66/1.57 % (472232)Instructions burned: 107 (million)
% 5.66/1.57 % (472235)Instruction limit reached!
% 5.66/1.57 % (472235)------------------------------
% 5.66/1.57 % (472235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472235)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472235)Termination reason: Instruction limit
% 5.66/1.57 % (472235)Termination phase: Saturation
% 5.66/1.57 % (472235)Time elapsed: 0.071 s
% 5.66/1.57 % (472235)Peak memory usage: 88 MB
% 5.66/1.57 % (472235)Instructions burned: 119 (million)
% 5.66/1.57 % (472237)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=1055190908:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.66/1.57 % (472234)Instruction limit reached!
% 5.66/1.57 % (472234)------------------------------
% 5.66/1.57 % (472234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472234)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472234)Termination reason: Instruction limit
% 5.66/1.57 % (472234)Termination phase: Saturation
% 5.66/1.57 % (472234)Time elapsed: 0.118 s
% 5.66/1.57 % (472234)Peak memory usage: 89 MB
% 5.66/1.57 % (472234)Instructions burned: 180 (million)
% 5.66/1.57 % (472237)Instruction limit reached!
% 5.66/1.57 % (472237)------------------------------
% 5.66/1.57 % (472237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472237)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472237)Termination reason: Instruction limit
% 5.66/1.57 % (472237)Termination phase: Saturation
% 5.66/1.57 % (472237)Time elapsed: 0.046 s
% 5.66/1.57 % (472237)Peak memory usage: 89 MB
% 5.66/1.57 % (472237)Instructions burned: 146 (million)
% 5.66/1.57 % (472245)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3745138083:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.66/1.57 % (472244)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1440578587: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)
% 5.66/1.57 % (472248)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4227099264:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.66/1.57 % (472247)lrs+10_64_to=lpo:sil=8000:random_seed=1050094944:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.66/1.57 % (472244)First to succeed.
% 5.66/1.57 % (472244)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-472224"
% 5.66/1.57 % (472248)Instruction limit reached!
% 5.66/1.57 % (472248)------------------------------
% 5.66/1.57 % (472248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472248)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472248)Termination reason: Instruction limit
% 5.66/1.57 % (472248)Termination phase: Saturation
% 5.66/1.57 % (472248)Time elapsed: 0.072 s
% 5.66/1.57 % (472248)Peak memory usage: 89 MB
% 5.66/1.57 % (472248)Instructions burned: 195 (million)
% 5.66/1.57 % (472247)Instruction limit reached!
% 5.66/1.57 % (472247)------------------------------
% 5.66/1.57 % (472247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472247)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472247)Termination reason: Instruction limit
% 5.66/1.57 % (472247)Termination phase: Saturation
% 5.66/1.57 % (472247)Time elapsed: 0.067 s
% 5.66/1.57 % (472247)Peak memory usage: 88 MB
% 5.66/1.57 % (472247)Instructions burned: 126 (million)
% 5.66/1.57 % (472245)Instruction limit reached!
% 5.66/1.57 % (472245)------------------------------
% 5.66/1.57 % (472245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472245)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472245)Termination reason: Instruction limit
% 5.66/1.57 % (472245)Termination phase: Saturation
% 5.66/1.57 % (472245)Time elapsed: 0.146 s
% 5.66/1.57 % (472245)Peak memory usage: 89 MB
% 5.66/1.57 % (472245)Instructions burned: 221 (million)
% 5.66/1.57 % (472253)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4181421159:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.66/1.57 % (472254)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1162953417:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.66/1.57 % (472253)Instruction limit reached!
% 5.66/1.57 % (472253)------------------------------
% 5.66/1.57 % (472253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472253)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472253)Termination reason: Instruction limit
% 5.66/1.57 % (472253)Termination phase: Saturation
% 5.66/1.57 % (472253)Time elapsed: 0.062 s
% 5.66/1.57 % (472253)Peak memory usage: 90 MB
% 5.66/1.57 % (472253)Instructions burned: 158 (million)
% 5.66/1.57 % (472244)Refutation found. Thanks to Tanya!
% 5.66/1.57 % SZS status Unsatisfiable for theBenchmark
% 5.66/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.66/1.57 % (472244)------------------------------
% 5.66/1.57 % (472244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.57 % (472244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.57 % (472244)CaDiCaL version: 2.1.3
% 5.66/1.57 % (472244)Termination reason: Refutation
% 5.66/1.57 % (472244)Time elapsed: 0.054 s
% 5.66/1.57 % (472244)Peak memory usage: 89 MB
% 5.66/1.57 % (472244)Instructions burned: 87 (million)
% 5.66/1.57 % (472244)------------------------------
% 5.66/1.57 % (472244)------------------------------
% 5.66/1.57 % (472224)Success in time 0.714 s
% 5.66/1.57 % Vampire exiting
%------------------------------------------------------------------------------