%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:01:18 PM UTC 2026
% Result : Unsatisfiable 3.50s 1.21s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 36 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56_is_p38_1) ).
fof(f3,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_3) ).
fof(f8,negated_conjecture,
! [X0] : p16(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).
fof(f13,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_13) ).
fof(f15,negated_conjecture,
! [X0] :
( p38(f15(X0))
| ~ p38(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_15) ).
fof(f36,negated_conjecture,
! [X0] :
( p16(f19(f15(X0)),f28(f19(X0)))
| ~ p38(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_36) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( p37(X0,X1)
| ~ p10(X2,X1)
| ~ p37(X3,X2)
| ~ p10(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_51) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( p39(X0,X1)
| ~ p16(X2,X1)
| ~ p39(X3,X2)
| ~ p16(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_52) ).
fof(f54,negated_conjecture,
! [X0,X1] :
( p39(f19(X0),f19(X1))
| ~ p38(X1)
| ~ p38(X0)
| ~ p37(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_54) ).
fof(f64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11_is_p38_64) ).
fof(f66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_66) ).
fof(f69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_69) ).
fof(f87,plain,
! [X0,X1] :
( ~ p16(X0,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p39(X1,X0)
| ~ p16(X1,f28(f19(c56))) ),
inference(resolution,[],[f69,f52]) ).
fof(f88,plain,
! [X0] :
( ~ p39(X0,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p16(X0,f28(f19(c56))) ),
inference(resolution,[],[f87,f8]) ).
fof(f92,plain,
! [X0] :
( ~ p16(f19(X0),f28(f19(c56)))
| ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(X0)
| ~ p37(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[],[f88,f54]) ).
fof(f93,plain,
! [X0] :
( ~ p16(f19(X0),f28(f19(c56)))
| ~ p38(X0)
| ~ p37(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(forward_subsumption_resolution,[],[f92,f64]) ).
fof(f94,plain,
( ~ p38(f15(c56))
| ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(c56) ),
inference(resolution,[],[f93,f36]) ).
fof(f96,plain,
( ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p38(c56) ),
inference(forward_subsumption_resolution,[],[f94,f15]) ).
fof(f97,plain,
~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(forward_subsumption_resolution,[],[f96,f1]) ).
fof(f99,plain,
! [X0,X1] :
( ~ p10(X1,f15(c56))
| ~ p37(X1,X0)
| ~ p10(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[],[f97,f51]) ).
fof(f113,plain,
! [X0] :
( ~ p37(f15(c56),X0)
| ~ p10(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[],[f99,f3]) ).
fof(f116,plain,
~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(resolution,[],[f113,f13]) ).
fof(f120,plain,
$false,
inference(forward_subsumption_resolution,[],[f116,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 % Computer : n026.cluster.edu
% 0.12/0.21 % Model : x86_64 x86_64
% 0.12/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.21 % Memory : 8046.5625MB
% 0.12/0.21 % OS : Linux 6.8.0-71-generic
% 0.12/0.21 % CPULimit : 300
% 0.12/0.21 % WCLimit : 300
% 0.12/0.21 % DateTime : Mon Sep 28 16:51:12 UTC 2026
% 0.12/0.21 % CPUTime :
% 0.12/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 Running first-order theorem proving
% 0.12/0.27 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
% 3.50/1.21 % (4011362)Input is clausal, will run a generic CNF schedule.
% 3.50/1.21 % (4011479)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1844086098:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.50/1.21 % (4011477)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=3864840642:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.50/1.21 % (4011484)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4027097705:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.50/1.21 % (4011486)dis-21_1_sil=8000:lcm=predicate:random_seed=533811423: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)
% 3.50/1.21 % (4011481)lrs+10_1_sil=8000:sp=occurrence:random_seed=575392902:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.50/1.21 % (4011483)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=125574513:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.50/1.21 % (4011478)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3326973183:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.50/1.21 % (4011484)First to succeed.
% 3.50/1.21 % (4011484)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4011362"
% 3.50/1.21 % (4011483)Also succeeded, but the first one will report.
% 3.50/1.21 % (4011481)Instruction limit reached!
% 3.50/1.21 % (4011481)------------------------------
% 3.50/1.21 % (4011481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (4011481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (4011481)CaDiCaL version: 2.1.3
% 3.50/1.21 % (4011481)Termination reason: Instruction limit
% 3.50/1.21 % (4011481)Termination phase: Saturation
% 3.50/1.21 % (4011481)Time elapsed: 0.066 s
% 3.50/1.21 % (4011481)Peak memory usage: 89 MB
% 3.50/1.21 % (4011481)Instructions burned: 107 (million)
% 3.50/1.21 % (4011486)Instruction limit reached!
% 3.50/1.21 % (4011486)------------------------------
% 3.50/1.21 % (4011486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (4011486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (4011486)CaDiCaL version: 2.1.3
% 3.50/1.21 % (4011486)Termination reason: Instruction limit
% 3.50/1.21 % (4011486)Termination phase: Saturation
% 3.50/1.21 % (4011486)Time elapsed: 0.070 s
% 3.50/1.21 % (4011486)Peak memory usage: 88 MB
% 3.50/1.21 % (4011486)Instructions burned: 118 (million)
% 3.50/1.21 % (4011533)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=2425911530:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.50/1.21 % (4011534)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1124997638: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)
% 3.50/1.21 % (4011484)Refutation found. Thanks to Tanya!
% 3.50/1.21 % SZS status Unsatisfiable for theBenchmark
% 3.50/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.21 % (4011484)------------------------------
% 3.50/1.21 % (4011484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.21 % (4011484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.21 % (4011484)CaDiCaL version: 2.1.3
% 3.50/1.21 % (4011484)Termination reason: Refutation
% 3.50/1.21 % (4011484)Time elapsed: 0.005 s
% 3.50/1.21 % (4011484)Peak memory usage: 88 MB
% 3.50/1.21 % (4011484)Instructions burned: 6 (million)
% 3.50/1.21 % (4011484)------------------------------
% 3.50/1.21 % (4011484)------------------------------
% 3.50/1.21 % (4011362)Success in time 0.421 s
% 3.50/1.21 % Vampire exiting
%------------------------------------------------------------------------------