%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN617-1 : 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 : n019.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 02:01:06 PM UTC 2026
% Result : Unsatisfiable 3.92s 1.27s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 42 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
! [X0] : p13(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_5) ).
fof(f6,negated_conjecture,
p19(c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_6) ).
fof(f7,negated_conjecture,
! [X0,X1] : p11(f12(f14(X0,X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f19,negated_conjecture,
! [X0,X1] : p13(f15(f3(X0),X1),f15(X0,f12(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_19) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( p13(X0,X1)
| ~ p13(X2,X0)
| ~ p13(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_24) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p13(f15(X0,X1),f15(X2,X3))
| ~ p11(X1,X3)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_28) ).
fof(f31,negated_conjecture,
! [X0,X1] :
( p2(f4(f4(f3(X0),f5(f6(c20))),X1),f3(f4(f4(X0,f5(f6(c20))),X1)))
| ~ p19(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).
fof(f32,negated_conjecture,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p13_32) ).
fof(f34,plain,
! [X0] :
( ~ p13(X0,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)))
| ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
inference(resolution,[],[f32,f24]) ).
fof(f46,plain,
! [X0,X1] :
( ~ p13(X1,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)))
| ~ p13(X1,X0)
| ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
inference(resolution,[],[f34,f24]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ p13(X2,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)))
| ~ p13(X1,f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p13(X2,X0)
| ~ p13(X0,X1) ),
inference(resolution,[],[f46,f24]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),X1)
| ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p13(X1,X0) ),
inference(resolution,[],[f56,f5]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p13(f15(X1,X2),X0)
| ~ p11(f14(c23,c24),X2)
| ~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),X1) ),
inference(resolution,[],[f106,f28]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),X0)
| ~ p11(f14(c23,c24),X1)
| ~ p13(f15(X0,X1),f15(X2,X3))
| ~ p11(X3,c24)
| ~ p2(X2,f4(f4(c22,f5(f6(c20))),c21)) ),
inference(resolution,[],[f182,f28]) ).
fof(f662,plain,
! [X2,X0,X1] :
( ~ p11(f14(c23,c24),X0)
| ~ p13(f15(f3(f4(f4(c22,f5(f6(c20))),c21)),X0),f15(X1,X2))
| ~ p11(X2,c24)
| ~ p2(X1,f4(f4(c22,f5(f6(c20))),c21))
| ~ p19(c21,c22) ),
inference(resolution,[],[f333,f31]) ).
fof(f670,plain,
! [X2,X0,X1] :
( ~ p13(f15(f3(f4(f4(c22,f5(f6(c20))),c21)),X0),f15(X1,X2))
| ~ p11(f14(c23,c24),X0)
| ~ p11(X2,c24)
| ~ p2(X1,f4(f4(c22,f5(f6(c20))),c21)) ),
inference(forward_subsumption_resolution,[],[f662,f6]) ).
fof(f1523,plain,
! [X0] :
( ~ p11(f14(c23,c24),X0)
| ~ p11(f12(X0),c24)
| ~ p2(f4(f4(c22,f5(f6(c20))),c21),f4(f4(c22,f5(f6(c20))),c21)) ),
inference(resolution,[],[f670,f19]) ).
fof(f1527,plain,
! [X0] :
( ~ p11(f14(c23,c24),X0)
| ~ p11(f12(X0),c24) ),
inference(forward_subsumption_resolution,[],[f1523,f4]) ).
fof(f1529,plain,
~ p11(f12(f14(c23,c24)),c24),
inference(resolution,[],[f1527,f1]) ).
fof(f1531,plain,
$false,
inference(forward_subsumption_resolution,[],[f1529,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN617-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:36:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.23 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
% 3.92/1.27 % (4144199)Input is clausal, will run a generic CNF schedule.
% 3.92/1.27 % (4144210)dis-21_1_sil=8000:lcm=predicate:random_seed=2556236004: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)
% 3.92/1.27 % (4144206)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3635825720:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.92/1.27 % (4144205)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=611041960:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.92/1.27 % (4144207)lrs+10_1_sil=8000:sp=occurrence:random_seed=56851900:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.92/1.27 % (4144209)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1223205520:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.92/1.27 % (4144204)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=785499219:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.92/1.27 % (4144208)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3744749118:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.92/1.27 % (4144210)Instruction limit reached!
% 3.92/1.27 % (4144210)------------------------------
% 3.92/1.27 % (4144210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.27 % (4144210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.27 % (4144210)CaDiCaL version: 2.1.3
% 3.92/1.27 % (4144210)Termination reason: Instruction limit
% 3.92/1.27 % (4144210)Termination phase: Saturation
% 3.92/1.27 % (4144210)Time elapsed: 0.040 s
% 3.92/1.27 % (4144210)Peak memory usage: 88 MB
% 3.92/1.27 % (4144210)Instructions burned: 119 (million)
% 3.92/1.27 % (4144208)First to succeed.
% 3.92/1.27 % (4144208)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4144199"
% 3.92/1.27 % (4144207)Instruction limit reached!
% 3.92/1.27 % (4144207)------------------------------
% 3.92/1.27 % (4144207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.27 % (4144207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.27 % (4144207)CaDiCaL version: 2.1.3
% 3.92/1.27 % (4144207)Termination reason: Instruction limit
% 3.92/1.27 % (4144207)Termination phase: Saturation
% 3.92/1.27 % (4144207)Time elapsed: 0.065 s
% 3.92/1.27 % (4144207)Peak memory usage: 89 MB
% 3.92/1.27 % (4144207)Instructions burned: 107 (million)
% 3.92/1.27 % (4144209)Instruction limit reached!
% 3.92/1.27 % (4144209)------------------------------
% 3.92/1.27 % (4144209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.27 % (4144209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.27 % (4144209)CaDiCaL version: 2.1.3
% 3.92/1.27 % (4144209)Termination reason: Instruction limit
% 3.92/1.27 % (4144209)Termination phase: Saturation
% 3.92/1.27 % (4144209)Time elapsed: 0.121 s
% 3.92/1.27 % (4144209)Peak memory usage: 89 MB
% 3.92/1.27 % (4144209)Instructions burned: 180 (million)
% 3.92/1.27 % (4144218)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=1092643999:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.92/1.27 % (4144218)Instruction limit reached!
% 3.92/1.27 % (4144218)------------------------------
% 3.92/1.27 % (4144218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.27 % (4144218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.27 % (4144218)CaDiCaL version: 2.1.3
% 3.92/1.27 % (4144218)Termination reason: Instruction limit
% 3.92/1.27 % (4144218)Termination phase: Saturation
% 3.92/1.27 % (4144218)Time elapsed: 0.048 s
% 3.92/1.27 % (4144218)Peak memory usage: 89 MB
% 3.92/1.27 % (4144218)Instructions burned: 145 (million)
% 3.92/1.27 % (4144219)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=991164266: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)
% 3.92/1.27 % (4144220)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=63451793:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.92/1.27 % (4144222)lrs+10_64_to=lpo:sil=8000:random_seed=2282269249:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.92/1.27 % (4144208)Refutation found. Thanks to Tanya!
% 3.92/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.92/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.27 % (4144208)------------------------------
% 3.92/1.27 % (4144208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.27 % (4144208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.27 % (4144208)CaDiCaL version: 2.1.3
% 3.92/1.27 % (4144208)Termination reason: Refutation
% 3.92/1.27 % (4144208)Time elapsed: 0.045 s
% 3.92/1.27 % (4144208)Peak memory usage: 88 MB
% 3.92/1.27 % (4144208)Instructions burned: 68 (million)
% 3.92/1.27 % (4144208)------------------------------
% 3.92/1.27 % (4144208)------------------------------
% 3.92/1.27 % (4144199)Success in time 0.478 s
% 3.92/1.27 % Vampire exiting
%------------------------------------------------------------------------------