%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL088-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:37:54 AM UTC 2026
% Result : Unsatisfiable 5.77s 1.66s
% Output : Refutation 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros3) ).
fof(f12,axiom,
! [X0] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_refl) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ trans(X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| member(pair(X1,X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
fof(f38,axiom,
! [X0] : trans(rtrancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f39,axiom,
! [X0,X1] :
( member(X1,comb)
| ~ member(pair(X0,X1),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_combD2) ).
fof(f42,axiom,
! [X2,X3,X0,X1] :
( ~ member(pair(X0,X1),contract)
| ~ member(X2,comb)
| ~ member(pair(comb_app(X1,X2),X3),rtrancl(contract))
| member(pair(comb_app(X0,X2),X3),rtrancl(contract)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_rls_3) ).
fof(f44,axiom,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h1) ).
fof(f47,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h4) ).
fof(f48,axiom,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h5) ).
fof(f49,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2c1) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( member(pair(X0,X3),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2))
| ~ member(pair(X0,X1),rtrancl(X2)) ),
inference(resolution,[],[f37,f38]) ).
fof(f55,plain,
! [X0] :
( ~ member(pair(X0,comb_app(z,r)),rtrancl(contract))
| ~ member(pair(comb_app(p,r),X0),rtrancl(contract)) ),
inference(resolution,[],[f54,f49]) ).
fof(f76,plain,
! [X0,X1] :
( member(pair(comb_app(y,X0),X1),rtrancl(contract))
| ~ member(pair(comb_app(z,X0),X1),rtrancl(contract))
| ~ member(X0,comb) ),
inference(resolution,[],[f42,f47]) ).
fof(f102,plain,
! [X0] :
( ~ member(pair(comb_app(p,r),comb_app(y,X0)),rtrancl(contract))
| ~ member(X0,comb)
| ~ member(pair(comb_app(z,X0),comb_app(z,r)),rtrancl(contract)) ),
inference(resolution,[],[f76,f55]) ).
fof(f147,plain,
( ~ member(r,comb)
| ~ member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract)) ),
inference(resolution,[],[f102,f48]) ).
fof(f149,plain,
~ member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract)),
inference(forward_subsumption_resolution,[],[f147,f44]) ).
fof(f236,plain,
~ member(comb_app(z,r),comb),
inference(resolution,[],[f149,f12]) ).
fof(f238,plain,
( ~ member(r,comb)
| ~ member(z,comb) ),
inference(resolution,[],[f236,f11]) ).
fof(f247,plain,
~ member(z,comb),
inference(forward_subsumption_resolution,[],[f238,f44]) ).
fof(f261,plain,
! [X0] : ~ member(pair(X0,z),contract),
inference(resolution,[],[f247,f39]) ).
fof(f313,plain,
$false,
inference(resolution,[],[f261,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL088-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n004.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 21:34:52 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.31 Running first-order theorem proving
% 0.27/0.31 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
% 5.77/1.66 % (812198)Input is clausal, will run a generic CNF schedule.
% 5.77/1.66 % (812203)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=1812141204:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.77/1.66 % (812209)dis-21_1_sil=8000:lcm=predicate:random_seed=4137033467: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)
% 5.77/1.66 % (812206)lrs+10_1_sil=8000:sp=occurrence:random_seed=3432106738:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.77/1.66 % (812207)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1904904494:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.77/1.66 % (812204)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3997114863:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.77/1.66 % (812206)Refutation not found, incomplete strategy
% 5.77/1.66 % (812206)------------------------------
% 5.77/1.66 % (812206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.66 % (812206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.66 % (812206)CaDiCaL version: 2.1.3
% 5.77/1.66 % (812206)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.66 % (812206)Time elapsed: 0.007 s
% 5.77/1.66 % (812206)Peak memory usage: 88 MB
% 5.77/1.66 % (812206)Instructions burned: 5 (million)
% 5.77/1.66 % (812209)Instruction limit reached!
% 5.77/1.66 % (812209)------------------------------
% 5.77/1.66 % (812209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.66 % (812209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.66 % (812209)CaDiCaL version: 2.1.3
% 5.77/1.66 % (812209)Termination reason: Instruction limit
% 5.77/1.66 % (812209)Termination phase: Saturation
% 5.77/1.66 % (812209)Time elapsed: 0.092 s
% 5.77/1.66 % (812209)Peak memory usage: 89 MB
% 5.77/1.66 % (812209)Instructions burned: 117 (million)
% 5.77/1.66 % (812208)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2655170572:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.77/1.66 % (812205)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=772791566:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.77/1.66 % (812208)First to succeed.
% 5.77/1.66 % (812208)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-812198"
% 5.77/1.66 % (812207)Instruction limit reached!
% 5.77/1.66 % (812207)------------------------------
% 5.77/1.66 % (812207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.66 % (812207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.66 % (812207)CaDiCaL version: 2.1.3
% 5.77/1.66 % (812207)Termination reason: Instruction limit
% 5.77/1.66 % (812207)Termination phase: Saturation
% 5.77/1.66 % (812207)Time elapsed: 0.109 s
% 5.77/1.66 % (812207)Peak memory usage: 88 MB
% 5.77/1.66 % (812207)Instructions burned: 114 (million)
% 5.77/1.66 % (812217)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=1066605653:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.77/1.66 % (812206)------------------------------
% 5.77/1.66 % (812206)------------------------------
% 5.77/1.66 % (812218)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2547478056:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.77/1.66 % (812217)Instruction limit reached!
% 5.77/1.66 % (812217)------------------------------
% 5.77/1.66 % (812217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.66 % (812217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.66 % (812217)CaDiCaL version: 2.1.3
% 5.77/1.66 % (812217)Termination reason: Instruction limit
% 5.77/1.66 % (812217)Termination phase: Saturation
% 5.77/1.66 % (812217)Time elapsed: 0.124 s
% 5.77/1.66 % (812217)Peak memory usage: 89 MB
% 5.77/1.66 % (812217)Instructions burned: 143 (million)
% 5.77/1.66 % (812218)Also succeeded, but the first one will report.
% 5.77/1.66 % (812208)Refutation found. Thanks to Tanya!
% 5.77/1.66 % SZS status Unsatisfiable for theBenchmark
% 5.77/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.77/1.66 % (812208)------------------------------
% 5.77/1.66 % (812208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.66 % (812208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.66 % (812208)CaDiCaL version: 2.1.3
% 5.77/1.66 % (812208)Termination reason: Refutation
% 5.77/1.66 % (812208)Time elapsed: 0.028 s
% 5.77/1.66 % (812208)Peak memory usage: 88 MB
% 5.77/1.66 % (812208)Instructions burned: 23 (million)
% 5.77/1.66 % (812208)------------------------------
% 5.77/1.66 % (812208)------------------------------
% 5.77/1.66 % (812198)Success in time 0.708 s
% 5.77/1.67 % Vampire exiting
%------------------------------------------------------------------------------