%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN610-1 : 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 : 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 02:01:04 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.08s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( p17(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p17(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f10(X0,X1),f10(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
fof(f27,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
fof(f28,negated_conjecture,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_28) ).
fof(f29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
| ~ p2(X2,f6(f7(f8(c20))))
| ~ p17(X0,X2) ),
inference(resolution,[],[f28,f20]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ p3(X1,f10(f14(f4(f9(c19)),c19),f12(X2,c21)))
| ~ p17(f9(X1),X0)
| ~ p2(X0,f6(f7(f8(c20)))) ),
inference(resolution,[],[f70,f12]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ p3(X0,f14(f4(f9(c19)),c19))
| ~ p2(X2,f6(f7(f8(c20))))
| ~ p17(f9(f10(X0,X1)),X2)
| ~ p3(X1,f12(X3,c21)) ),
inference(resolution,[],[f85,f24]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ p17(f9(f10(f14(f4(f9(c19)),c19),X1)),X0)
| ~ p2(X0,f6(f7(f8(c20))))
| ~ p3(X1,f12(X2,c21)) ),
inference(resolution,[],[f150,f4]) ).
fof(f626,plain,
! [X0] :
( ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)) ),
inference(resolution,[],[f290,f29]) ).
fof(f628,plain,
! [X0] : ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)),
inference(forward_subsumption_resolution,[],[f626,f2]) ).
fof(f636,plain,
! [X0,X1] :
( ~ p3(X0,f15(f4(f6(f7(f8(c20))))))
| ~ p3(X0,f12(X1,c21)) ),
inference(resolution,[],[f628,f19]) ).
fof(f1359,plain,
! [X0] : ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f12(X0,c21)),
inference(resolution,[],[f636,f27]) ).
fof(f1367,plain,
$false,
inference(resolution,[],[f1359,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN610-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:35:15 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.69/1.08 % (3202804)Input is clausal, will run a generic CNF schedule.
% 2.69/1.08 % (3202813)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=477037354:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.08 % (3202813)First to succeed.
% 2.69/1.08 % (3202813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3202804"
% 2.69/1.08 % (3202815)dis-21_1_sil=8000:lcm=predicate:random_seed=3735763558: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)
% 2.69/1.08 % (3202814)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2949657364:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.08 % (3202812)lrs+10_1_sil=8000:sp=occurrence:random_seed=1806113657:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.08 % (3202810)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=140167373:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.08 % (3202809)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=3861954594:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.08 % (3202811)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2346671198:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.08 % (3202814)Also succeeded, but the first one will report.
% 2.69/1.08 % (3202815)Instruction limit reached!
% 2.69/1.08 % (3202815)------------------------------
% 2.69/1.08 % (3202815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.08 % (3202815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.08 % (3202815)CaDiCaL version: 2.1.3
% 2.69/1.08 % (3202815)Termination reason: Instruction limit
% 2.69/1.08 % (3202815)Termination phase: Saturation
% 2.69/1.08 % (3202815)Time elapsed: 0.041 s
% 2.69/1.08 % (3202815)Peak memory usage: 87 MB
% 2.69/1.08 % (3202815)Instructions burned: 119 (million)
% 2.69/1.08 % (3202812)Instruction limit reached!
% 2.69/1.08 % (3202812)------------------------------
% 2.69/1.08 % (3202812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.08 % (3202812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.08 % (3202812)CaDiCaL version: 2.1.3
% 2.69/1.08 % (3202812)Termination reason: Instruction limit
% 2.69/1.08 % (3202812)Termination phase: Saturation
% 2.69/1.08 % (3202812)Time elapsed: 0.064 s
% 2.69/1.08 % (3202812)Peak memory usage: 89 MB
% 2.69/1.08 % (3202812)Instructions burned: 108 (million)
% 2.69/1.08 % (3202813)Refutation found. Thanks to Tanya!
% 2.69/1.08 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.08 % (3202813)------------------------------
% 2.69/1.08 % (3202813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.08 % (3202813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.08 % (3202813)CaDiCaL version: 2.1.3
% 2.69/1.08 % (3202813)Termination reason: Refutation
% 2.69/1.08 % (3202813)Time elapsed: 0.028 s
% 2.69/1.08 % (3202813)Peak memory usage: 88 MB
% 2.69/1.08 % (3202813)Instructions burned: 80 (million)
% 2.69/1.08 % (3202813)------------------------------
% 2.69/1.08 % (3202813)------------------------------
% 2.69/1.08 % (3202804)Success in time 0.301 s
% 2.69/1.08 % Vampire exiting
%------------------------------------------------------------------------------