%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO690-1.001 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:28:47 PM UTC 2026
% Result : Satisfiable 3.16s 1.00s
% Output : Saturation 3.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(constructor_af_001,axiom,
~ eq(a,f(X0,X1)) ).
cnf(constructor_af,axiom,
~ eq(f(X0,X1),a) ).
cnf(rewrite_right,axiom,
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ) ).
cnf(rewrite_left,axiom,
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ) ).
cnf(rewrite_sequence_succ,axiom,
( seq(succ(X0),X1,X3)
| ~ step(X2,X3)
| ~ seq(X0,X1,X2) ) ).
cnf(constructor_f1,axiom,
( eq(f(X0,X2),f(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ) ).
cnf(rewrite_sequence_zero,axiom,
seq(zero,X0,X0) ).
cnf(constructor_a,axiom,
eq(a,a) ).
cnf(rule_1,axiom,
top(f(f(f(X0,a),X1),f(X2,a)),f(f(X2,f(f(X1,a),a)),X0)) ).
cnf(constructor_f3,axiom,
( ~ eq(f(X2,X0),f(X3,X1))
| eq(X0,X1) ) ).
cnf(constructor_f2,axiom,
( ~ eq(f(X0,X2),f(X1,X3))
| eq(X0,X1) ) ).
cnf(rewrite_top,axiom,
( ~ top(X0,X1)
| step(X0,X1) ) ).
cnf(prove,negated_conjecture,
seq(succ(succ(succ(succ(zero)))),X0,X0) ).
cnf(u16,axiom,
step(f(f(f(X0,a),X1),f(X2,a)),f(f(X2,f(f(X1,a),a)),X0)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO690-1.001 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/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 18:07:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 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
% 3.16/1.00 % (3304357)Input is clausal, will run a generic CNF schedule.
% 3.16/1.00 % (3304367)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2612355417:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.16/1.00 % (3304363)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3397897791:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.16/1.00 % (3304366)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1837495319:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.16/1.00 % (3304365)lrs+10_1_sil=8000:sp=occurrence:random_seed=1452196026:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.16/1.00 % (3304364)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1370380963:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.16/1.00 % (3304362)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=1656725351:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.16/1.00 % (3304368)dis-21_1_sil=8000:lcm=predicate:random_seed=983597544: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)
% 3.16/1.00 % (3304366)Refutation not found, incomplete strategy
% 3.16/1.00 % (3304366)------------------------------
% 3.16/1.00 % (3304366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.00 % (3304366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.00 % (3304366)CaDiCaL version: 2.1.3
% 3.16/1.00 % (3304366)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.00 % (3304366)Time elapsed: 0.001 s
% 3.16/1.00 % (3304366)Peak memory usage: 87 MB
% 3.16/1.00 % (3304368)First to succeed.
% 3.16/1.00 % (3304368)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3304357"
% 3.16/1.00 % (3304367)Instruction limit reached!
% 3.16/1.00 % (3304367)------------------------------
% 3.16/1.00 % (3304367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.00 % (3304367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.00 % (3304367)CaDiCaL version: 2.1.3
% 3.16/1.00 % (3304367)Termination reason: Instruction limit
% 3.16/1.00 % (3304367)Termination phase: Saturation
% 3.16/1.00 % (3304367)Time elapsed: 0.058 s
% 3.16/1.00 % (3304367)Peak memory usage: 90 MB
% 3.16/1.00 % (3304367)Instructions burned: 180 (million)
% 3.16/1.00 % (3304365)Instruction limit reached!
% 3.16/1.00 % (3304365)------------------------------
% 3.16/1.00 % (3304365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.00 % (3304365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.00 % (3304365)CaDiCaL version: 2.1.3
% 3.16/1.00 % (3304365)Termination reason: Instruction limit
% 3.16/1.00 % (3304365)Termination phase: Saturation
% 3.16/1.00 % (3304365)Time elapsed: 0.069 s
% 3.16/1.00 % (3304365)Peak memory usage: 89 MB
% 3.16/1.00 % (3304365)Instructions burned: 108 (million)
% 3.16/1.00 % (3304376)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=2528958601:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.16/1.00 % (3304376)Refutation not found, incomplete strategy
% 3.16/1.00 % (3304376)------------------------------
% 3.16/1.00 % (3304376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.00 % (3304376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.00 % (3304376)CaDiCaL version: 2.1.3
% 3.16/1.00 % (3304376)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.00 % (3304376)Time elapsed: 0.0000 s
% 3.16/1.00 % (3304376)Peak memory usage: 87 MB
% 3.16/1.00 % (3304377)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4211500347: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)
% 3.16/1.00 % (3304377)Refutation not found, incomplete strategy
% 3.16/1.00 % (3304377)------------------------------
% 3.16/1.00 % (3304377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.00 % (3304377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.00 % (3304377)CaDiCaL version: 2.1.3
% 3.16/1.00 % (3304377)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.00 % (3304377)Time elapsed: 0.001 s
% 3.16/1.00 % (3304377)Peak memory usage: 87 MB
% 3.16/1.00 % (3304366)------------------------------
% 3.16/1.00 % (3304366)------------------------------
% 3.16/1.00 % SZS status Satisfiable for theBenchmark
% 3.16/1.00 % SZS output start Saturation.
% See solution above
% 3.16/1.00 % SZS output start Definitions and Model Updates.
% 3.16/1.00 % SZS output end Definitions and Model Updates.
% 3.16/1.00 % (3304368)------------------------------
% 3.16/1.00 % (3304368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.00 % (3304368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.00 % (3304368)CaDiCaL version: 2.1.3
% 3.16/1.00 % (3304368)Termination reason: Satisfiable
% 3.16/1.00 % (3304368)Time elapsed: 0.001 s
% 3.16/1.00 % (3304368)Peak memory usage: 88 MB
% 3.16/1.00 % (3304368)------------------------------
% 3.16/1.00 % (3304368)------------------------------
% 3.16/1.00 % (3304357)Success in time 0.396 s
% 3.16/1.00 % Vampire exiting
%------------------------------------------------------------------------------